{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# The importance of average speed running to marathon sports"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Abstract: \n",
    "\n",
    "As a mass sport, marathon has attracted a large number of runners around the world. Along with this, participants have a growing desire to improve their athletic performance. This study uses Python data analysis tools, based on marathon competition data, focusing on runners' speed fluctuations, and found that being able to achieve uniform speed movement is of great significance for improving marathon performance. The study attempts to use machine learning to predict runners' marathon performance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "### Research significance:\n",
    "\n",
    "Marathon, as a long-distance running sport, is very similar to the 3,000-meter physical test conducted by universities. By studying the methods for improving marathon performance, we can similarly derive methods for improving 3,000-meter performance. In particular, for college students, how to improve performance significantly in a short period of time with limited extracurricular exercise time, in other words, given athletic ability, is there a way to significantly improve performance in a short period of time so that students can pass the physical test? The author observed during the physical test that students who ran fast in the first lap often lost their momentum and were overtaken, so he proposed that running at a constant speed is very helpful for improving marathon performance.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data introduction: \n",
    "\n",
    "The data selected for this study comes from a project in [Kaggle](https://www.kaggle.com/datasets/rojour/finishers-boston-marathon-2017/data). This project contains the data of participants in the 2017 Boston Marathon."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Exploration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import necessary packages\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('seaborn-v0_8-whitegrid')\n",
    "import seaborn as sns\n",
    "import os"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>Bib</th>\n",
       "      <th>Name</th>\n",
       "      <th>Age</th>\n",
       "      <th>M/F</th>\n",
       "      <th>City</th>\n",
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       "      <th>Unnamed: 9</th>\n",
       "      <th>...</th>\n",
       "      <th>25K</th>\n",
       "      <th>30K</th>\n",
       "      <th>35K</th>\n",
       "      <th>40K</th>\n",
       "      <th>Pace</th>\n",
       "      <th>Proj Time</th>\n",
       "      <th>Official Time</th>\n",
       "      <th>Overall</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Division</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
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       "      <td>Kirui, Geoffrey</td>\n",
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       "      <td>KEN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
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       "      <td>1:33:01</td>\n",
       "      <td>1:48:19</td>\n",
       "      <td>2:02:53</td>\n",
       "      <td>0:04:57</td>\n",
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       "      <td>1</td>\n",
       "      <td>17</td>\n",
       "      <td>Rupp, Galen</td>\n",
       "      <td>30</td>\n",
       "      <td>M</td>\n",
       "      <td>Portland</td>\n",
       "      <td>OR</td>\n",
       "      <td>USA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>1:16:59</td>\n",
       "      <td>1:33:01</td>\n",
       "      <td>1:48:19</td>\n",
       "      <td>2:03:14</td>\n",
       "      <td>0:04:58</td>\n",
       "      <td>-</td>\n",
       "      <td>2:09:58</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>23</td>\n",
       "      <td>Osako, Suguru</td>\n",
       "      <td>25</td>\n",
       "      <td>M</td>\n",
       "      <td>Machida-City</td>\n",
       "      <td>NaN</td>\n",
       "      <td>JPN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>1:17:00</td>\n",
       "      <td>1:33:01</td>\n",
       "      <td>1:48:31</td>\n",
       "      <td>2:03:38</td>\n",
       "      <td>0:04:59</td>\n",
       "      <td>-</td>\n",
       "      <td>2:10:28</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>21</td>\n",
       "      <td>Biwott, Shadrack</td>\n",
       "      <td>32</td>\n",
       "      <td>M</td>\n",
       "      <td>Mammoth Lakes</td>\n",
       "      <td>CA</td>\n",
       "      <td>USA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>1:17:00</td>\n",
       "      <td>1:33:01</td>\n",
       "      <td>1:48:58</td>\n",
       "      <td>2:04:35</td>\n",
       "      <td>0:05:03</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>9</td>\n",
       "      <td>Chebet, Wilson</td>\n",
       "      <td>31</td>\n",
       "      <td>M</td>\n",
       "      <td>Marakwet</td>\n",
       "      <td>NaN</td>\n",
       "      <td>KEN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>1:16:59</td>\n",
       "      <td>1:33:01</td>\n",
       "      <td>1:48:41</td>\n",
       "      <td>2:05:00</td>\n",
       "      <td>0:05:04</td>\n",
       "      <td>-</td>\n",
       "      <td>2:12:35</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 25 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0 Bib              Name  Age M/F           City State Country  \\\n",
       "0           0  11   Kirui, Geoffrey   24   M       Keringet   NaN     KEN   \n",
       "1           1  17       Rupp, Galen   30   M       Portland    OR     USA   \n",
       "2           2  23     Osako, Suguru   25   M   Machida-City   NaN     JPN   \n",
       "3           3  21  Biwott, Shadrack   32   M  Mammoth Lakes    CA     USA   \n",
       "4           4   9    Chebet, Wilson   31   M       Marakwet   NaN     KEN   \n",
       "\n",
       "  Citizen Unnamed: 9  ...      25K      30K      35K      40K     Pace  \\\n",
       "0     NaN        NaN  ...  1:16:59  1:33:01  1:48:19  2:02:53  0:04:57   \n",
       "1     NaN        NaN  ...  1:16:59  1:33:01  1:48:19  2:03:14  0:04:58   \n",
       "2     NaN        NaN  ...  1:17:00  1:33:01  1:48:31  2:03:38  0:04:59   \n",
       "3     NaN        NaN  ...  1:17:00  1:33:01  1:48:58  2:04:35  0:05:03   \n",
       "4     NaN        NaN  ...  1:16:59  1:33:01  1:48:41  2:05:00  0:05:04   \n",
       "\n",
       "  Proj Time Official Time Overall Gender Division  \n",
       "0         -       2:09:37       1      1        1  \n",
       "1         -       2:09:58       2      2        2  \n",
       "2         -       2:10:28       3      3        3  \n",
       "3         -       2:12:08       4      4        4  \n",
       "4         -       2:12:35       5      5        5  \n",
       "\n",
       "[5 rows x 25 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Import data\n",
    "df = pd.read_csv('marathon_results_2017.csv')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Unnamed: 0        int64\n",
       "Bib              object\n",
       "Name             object\n",
       "Age               int64\n",
       "M/F              object\n",
       "City             object\n",
       "State            object\n",
       "Country          object\n",
       "Citizen          object\n",
       "Unnamed: 9       object\n",
       "5K               object\n",
       "10K              object\n",
       "15K              object\n",
       "20K              object\n",
       "Half             object\n",
       "25K              object\n",
       "30K              object\n",
       "35K              object\n",
       "40K              object\n",
       "Pace             object\n",
       "Proj Time        object\n",
       "Official Time    object\n",
       "Overall           int64\n",
       "Gender            int64\n",
       "Division          int64\n",
       "dtype: object"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.dtypes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Convert time data to datetime format."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Index: 26393 entries, 0 to 26409\n",
      "Data columns (total 25 columns):\n",
      " #   Column         Non-Null Count  Dtype          \n",
      "---  ------         --------------  -----          \n",
      " 0   Unnamed: 0     26393 non-null  int64          \n",
      " 1   Bib            26393 non-null  object         \n",
      " 2   Name           26393 non-null  object         \n",
      " 3   Age            26393 non-null  int64          \n",
      " 4   M/F            26393 non-null  object         \n",
      " 5   City           26393 non-null  object         \n",
      " 6   State          22800 non-null  object         \n",
      " 7   Country        26393 non-null  object         \n",
      " 8   Citizen        1253 non-null   object         \n",
      " 9   Unnamed: 9     91 non-null     object         \n",
      " 10  5K             26393 non-null  object         \n",
      " 11  10K            26393 non-null  object         \n",
      " 12  15K            26393 non-null  object         \n",
      " 13  20K            26393 non-null  object         \n",
      " 14  Half           26393 non-null  timedelta64[ns]\n",
      " 15  25K            26393 non-null  object         \n",
      " 16  30K            26393 non-null  object         \n",
      " 17  35K            26393 non-null  object         \n",
      " 18  40K            26393 non-null  object         \n",
      " 19  Pace           26393 non-null  timedelta64[ns]\n",
      " 20  Proj Time      26393 non-null  object         \n",
      " 21  Official Time  26393 non-null  timedelta64[ns]\n",
      " 22  Overall        26393 non-null  int64          \n",
      " 23  Gender         26393 non-null  int64          \n",
      " 24  Division       26393 non-null  int64          \n",
      "dtypes: int64(5), object(17), timedelta64[ns](3)\n",
      "memory usage: 5.2+ MB\n"
     ]
    }
   ],
   "source": [
    "import datetime\n",
    "\n",
    "def convert_time(s):\n",
    "    h, m, s = map(int, s.split(':'))\n",
    "    return datetime.timedelta(hours=h, minutes=m, seconds=s)\n",
    "\n",
    "\n",
    "data = pd.read_csv('marathon_results_2017.csv',\n",
    "                   converters={'5k':convert_time, '10k':convert_time,\n",
    "                               '15k':convert_time, '20k':convert_time,\n",
    "                               '25k':convert_time, '30k':convert_time,\n",
    "                               '35k':convert_time, '40k':convert_time,\n",
    "                            #    'Half':convert_time,\n",
    "                               'Official Time':convert_time,\n",
    "                               'Pace':convert_time})\n",
    "# data.drop(data['Half']=='-',axis=1,inplace=True)\n",
    "data = data[data['Half'] != '-']\n",
    "data['Half'] = data['Half'].apply(convert_time)\n",
    "data.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Get the number of seconds it takes for the player to complete the half-game and the full-game, and save them in a new column."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>split_sec</th>\n",
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       "  <tbody>\n",
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       "      <td>3875.0</td>\n",
       "      <td>7777.0</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>17</td>\n",
       "      <td>Rupp, Galen</td>\n",
       "      <td>30</td>\n",
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       "      <td>OR</td>\n",
       "      <td>USA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>7798.0</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>23</td>\n",
       "      <td>Osako, Suguru</td>\n",
       "      <td>25</td>\n",
       "      <td>M</td>\n",
       "      <td>Machida-City</td>\n",
       "      <td>NaN</td>\n",
       "      <td>JPN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
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       "      <td>2:03:38</td>\n",
       "      <td>0 days 00:04:59</td>\n",
       "      <td>-</td>\n",
       "      <td>0 days 02:10:28</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3876.0</td>\n",
       "      <td>7828.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>21</td>\n",
       "      <td>Biwott, Shadrack</td>\n",
       "      <td>32</td>\n",
       "      <td>M</td>\n",
       "      <td>Mammoth Lakes</td>\n",
       "      <td>CA</td>\n",
       "      <td>USA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>1:48:58</td>\n",
       "      <td>2:04:35</td>\n",
       "      <td>0 days 00:05:03</td>\n",
       "      <td>-</td>\n",
       "      <td>0 days 02:12:08</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>3885.0</td>\n",
       "      <td>7928.0</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>9</td>\n",
       "      <td>Chebet, Wilson</td>\n",
       "      <td>31</td>\n",
       "      <td>M</td>\n",
       "      <td>Marakwet</td>\n",
       "      <td>NaN</td>\n",
       "      <td>KEN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>1:48:41</td>\n",
       "      <td>2:05:00</td>\n",
       "      <td>0 days 00:05:04</td>\n",
       "      <td>-</td>\n",
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       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>3875.0</td>\n",
       "      <td>7955.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 27 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0 Bib              Name  Age M/F           City State Country  \\\n",
       "0           0  11   Kirui, Geoffrey   24   M       Keringet   NaN     KEN   \n",
       "1           1  17       Rupp, Galen   30   M       Portland    OR     USA   \n",
       "2           2  23     Osako, Suguru   25   M   Machida-City   NaN     JPN   \n",
       "3           3  21  Biwott, Shadrack   32   M  Mammoth Lakes    CA     USA   \n",
       "4           4   9    Chebet, Wilson   31   M       Marakwet   NaN     KEN   \n",
       "\n",
       "  Citizen Unnamed: 9  ...      35K      40K            Pace Proj Time  \\\n",
       "0     NaN        NaN  ...  1:48:19  2:02:53 0 days 00:04:57         -   \n",
       "1     NaN        NaN  ...  1:48:19  2:03:14 0 days 00:04:58         -   \n",
       "2     NaN        NaN  ...  1:48:31  2:03:38 0 days 00:04:59         -   \n",
       "3     NaN        NaN  ...  1:48:58  2:04:35 0 days 00:05:03         -   \n",
       "4     NaN        NaN  ...  1:48:41  2:05:00 0 days 00:05:04         -   \n",
       "\n",
       "    Official Time Overall Gender Division split_sec final_sec  \n",
       "0 0 days 02:09:37       1      1        1    3875.0    7777.0  \n",
       "1 0 days 02:09:58       2      2        2    3875.0    7798.0  \n",
       "2 0 days 02:10:28       3      3        3    3876.0    7828.0  \n",
       "3 0 days 02:12:08       4      4        4    3885.0    7928.0  \n",
       "4 0 days 02:12:35       5      5        5    3875.0    7955.0  \n",
       "\n",
       "[5 rows x 27 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Convert time to seconds\n",
    "data['split_sec'] = pd.to_timedelta(data['Half']).dt.total_seconds()\n",
    "data['final_sec'] = pd.to_timedelta(data['Official Time']).dt.total_seconds()\n",
    "\n",
    "# View the results\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize the relationship between half-marathon time and full-marathon time, and preliminarily verify the study's speculation on the effect of uniform running on marathon performance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with sns.axes_style('white'):\n",
    "    g = sns.jointplot(x='split_sec', y='final_sec', data=data, kind='hex')\n",
    "    g.ax_joint.plot(np.linspace(4000, 16000),\n",
    "                    np.linspace(8000, 32000), ':k')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the above figure, we can find that the time taken by the better players to complete the race is more likely to be equal to twice the time taken to complete the halfway point, while those players with less satisfactory results will inevitably encounter a slowdown in the second half of the race."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data['split_frac'] = data['final_sec']/(2*data['split_sec'])\n",
    "sns.displot(data['split_frac']-1, kde=False)\n",
    "plt.axvline(0, color=\"k\", linestyle=\"--\")\n",
    "plt.xlim(-0.45, 0.55);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.03072900879054259\n"
     ]
    }
   ],
   "source": [
    "print(sum(data.split_frac < 1)/sum(data.split_frac<=2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the above figure, we can clearly see that most people find it difficult to achieve a relatively balanced distribution of physical strength and always tend to run faster in the first half. Furthermore, we found that only a small number of people (3.07%) will run faster in the first half."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we will extend our research to break the race into more segments and explore whether our previous findings on the importance of constant speed for marathon performance still hold true."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# df2 = data.copy()\n",
    "df2 = data[[ 'Age',\n",
    " 'M/F',\n",
    " 'final_sec',\n",
    " 'split_sec']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from scipy.stats import entropy\n",
    "\n",
    "# Convert a time string to seconds\n",
    "def time_to_seconds(t):\n",
    "    h, m, s = map(int, t.split(':'))\n",
    "    return h * 3600 + m * 60 + s\n",
    "# df[['5K', '10K', '15K', '20K', 'Half', '25K', '30K', '35K', '40K', 'Official Time']] =\n",
    "# df[['5K', '10K', '15K', '20K', 'Half', '25K', '30K', '35K', '40K', 'Official Time']].applymap(time_to_seconds)\n",
    "data2 = data.copy()\n",
    "\n",
    "# Correctly handle segmented time columns\n",
    "for i in ['5K', '10K', '15K', '20K', '25K', '30K', '35K', '40K','Half','Official Time']:\n",
    "    # Step 1: Replace '-' with NaN\n",
    "    data2[i] = data2[i].replace('-', pd.NaT)\n",
    "    \n",
    "    # # Step 2: Convert to seconds. Unparseable time strings are automatically converted to NaN\n",
    "    data2[i] = pd.to_timedelta(data2[i], errors='coerce').dt.total_seconds()\n",
    "\n",
    "\n",
    "\n",
    "# Calculate the time difference between segments (note the special treatment of Half)\n",
    "split_times = data2[['5K', '10K', '15K', '20K', 'Half', '25K', '30K', '35K', '40K', 'Official Time']].diff(axis=1)\n",
    "split_times = split_times.iloc[:, 1:]  # Drop the first column (5K difference is NaN)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 2. Calculate speed\n",
    "distances = [5, 5, 5, 5, 1.0975, 4, 5, 5, 5, 2.195]\n",
    "speeds = pd.DataFrame()\n",
    "for i, col in enumerate(split_times.columns):\n",
    "    speeds[col] = distances[i]*1000 / split_times[col]\n",
    "\n",
    "data2['var'] = speeds.var(axis=1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# volatility_index.head()\n",
    "data2['final_sec'] = data['final_sec']\n",
    "data2['var_1'] = 1/data2['var'] \n",
    "# data3 = data2[data2['var_1'] < 0.15]\n",
    "# data3 = data2[data2['var'] > 1/0.15]\n",
    "data2['log_var'] = -np.log(data2['var'])\n",
    "# data3 = data2.iloc[data2['var_1']<0.25]\n",
    "\n",
    "with sns.axes_style('white'):\n",
    "    g = sns.jointplot(x='log_var', y='final_sec', data=data2, kind='hex')\n",
    "    g.ax_joint.plot(np.linspace(-3.65, -0.4),\n",
    "                    np.linspace(8000, 32000), ':k',alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It can be clearly seen from the figure that the variance of speed shows a linear relationship with the performance. The smaller the speed fluctuation, the better the final performance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This study also explored the impact of gender, age and competition performance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, let's examine the relationship between gender and performance First, let's examine the relationship between gender and performance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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w41SqAVsbd862gD4tPLLWUo4M/SlvyRtOCrEUJJgRYons+PEPuWKebQgTJuBEcjUa6JFApiMUyhFJU8ZZYCBzNo41BMojcVrGU1XK0YQmDlaSbhzGlCJLAouj4hmZcmSkT5NY1iSYEWIJHHzmOS7N75337YtOCg3815eub96gxKLqSjj4OkGEWtQTa6R0XTbbdArwowjHavpSLpcN1deZCSp1ZvpTntSZEcuaBDNCNNlTD9zLRcXDcy4lzCZ1xc/zX9eubdqYxOJLOooJt4e8myURjC54qWk2FgisQ9rG2WwTbhysqMofw7Si0JW/12STDGUSjBUD6dMkVgzZCSZEk4yNjPD8v93BxQsMZErKo18CmY5yPO/z2LE8SsHe7CZCtTi/J/oqQZqAUDnszWyspexbTtWcSTgKRylGiwEPHRrl2ERRAhmx4sjMjBBNsOPHP2TL5H6GbLig+wVo+l//7iaNSjSDtZY9J/IEkcUjYiSxirLySMwja+2MxwWs0uTP0jW9FFqsisBCYCw/fG6UhKNrWU7SykCsBBLMCLHIdvz4h1yef2bBywxlgJe/tSljEs0zVgzI+SFJR1EM4cLCIbpNcc5067lUWxT4KoFB4WLY3bOVI6l1M3s6TWMANe1HzRJv+O324irA1VYG153fLwGNWLZkmUmIRfTMk/FGXzVLEbQzsSj2ZrfS29/ftLGJ5vBDU2noGO9fubBwqPL+x7V958uiUCgi7RI4SVCaYLbmlLPed2b/plJkcLQi7WoCE88ezVZMTzpsi+VAZmaEWCSnb/Sd79dYhGZPdgvXvernmjU00URJV6OVwo8smXCS7qgIVGu9zI+pBT4We4bspflSlWq/kbE4eu5WBsfzvnTYFsuCzMwIsQieeuDeBW/0hfi36RMX/5IEMh2sP+2RdONGjoP+MG5De2XsqeaTVpEwAZNuppa9tFCKU20OYPZWBsfzPjteGJMO22JZkGBGiHN04tgxLiw21sH6ufQFbLjkosUdkFh61oK1rCudAGbvbn0mGrBYIhSZaAprLXvTF7G+dJQt+X2sLx4BM7+jKqDSd7KWxVRtZeCHEcdyJYYnSzx+bAI/NHE2lFaoSiXhtKspR4adRycYmfJlaUp0BFlmEuIcdT9+z4J/KzDA8+kLuOw1/6UZQxJL6MBIgQk/pDfMkYqKGOJlooXSQLKS/ebaMq+aeKS2idgCV6rd7M1s5EBm4xmPMz2sKJRD0q6DbwwKePxYjtBYQnNqT1cUROjQkHYdAIphRGQsY1HAg8+N0ndawT1ZmhLtSIIZIc7B1H1/s6BAxgLHvUF6tr2ay4aGmjUssUSO532ePJ7DWEiaMi4G1UAgU1W9Z/VnqlYYD0XCBlyefwbgrAFNVWRhMohQgKsVSkNkT9ucbuPLJsv1ZQQUoBV12VAAO14YI4hsba+QsUjGlGg5WWYSokG33//Ygj5AEZrd2a1c/ItvYZUEMh3PWsue4zm6i6NcPPUcq0oncWxQC0AWfDzinTOn/0xV/x2hUFi2TB6Y95LT9GN3eZpyZLG2fnO6IQ5aqhlRWlWuV+BoXcuGeup4jqdO5AgiS9rTM5amzpQxJUSzycyMEA2YuO9WfoVo3re3wJHzf4nrrrioaWMSS2vi6CG2Pv9TssEkClMXIDRSbzduUTB7IKCIC+gZa/BswHr/GEfSC+vbFZp4BqY6tumPNP2/q/ttHKVwVLzvJuFoJvx45ibp6hkVhau3mS1jSoilIDMzQizQxH23klhAIAPxRt9LJJBZNqKRI7hPP0BPkENV0qgXYz7ibEFQdQ9Nd1hY8LEja2tRi1Kq7uRvpg3eEqd2p6YFLY6CyFiiSj2d2cyWMSXEUpFgRogFuP3fHl9wIBOCbPRdRqy1BAceQwdx6rJBA6qh2ZhZjn7Ga6ubgafcrrkGR28wwZB/kt5gYloXynimhdpyUrzWNFtNJEdBl+fgOae+HiILjo57QJk5hljNmEq68rUilp4sMwkxT/n7vsavNPD79yOZn+PnmzAe0Ro2N4zJjwKVQEYp1CLtEzljQGQNGktZeRxJzmxEOugPs2XyAJlwMq5Zg2Ky0tdpJDmItaYW20wfribeTzMZxEtlmYSD1qcCEmst5cjQl3RBwXgpJK3ql5qqt+lPefSnvXN6DYRohITQQsxD/r6v4TYQyBjg51+9dfEHJFrGlktgFjY7d640FqfSImFvZiPo+lP3oD/M9old9IQ5Au1S1EkC7dIT5rlqYhfnBSMUwtl/fg3gG0vK1aRcTSmqpG7b+O9iaPC04rI1PVw21IOnFcXQzHqbS4ey0qFbtIQEM0Kcxe33/bThQKb7De9f/AGJllKJFOi4JstSfm0bYHfmkplp2TbOcHJtSFGnMMoBpTDKoewkSWvD5skDKDuzU9T0ZaZXvKSfV7xkgP6UR2QshcBQDg3dCYdrz+9jTTbJmmyS687vr92mFBoiY+lPeZKWLVpKlpmEOIOp+/6GX2ngfnc71/HOG69a9PGI1lM9g+jsAGb0GAqDtQvpwtQYC5TxGE4NzriuN8yRCSfjPk6nzYpYFEU80sEka5kkn+yfkTptbLxMlHA0A10JrLXsejHHZDnCYimWI54+MYlC1QKaoUyCsWKAHxqSrqY/7cmMjGgpCWaEmMNCC+JVlXEkkFnGlFJ4G6+ilB9DBUU0ZkHdsRvlqLgw3+mSplzZI1P/01qtFRMYRcoa3MjH1YrT55OstZTCOAvpeN7nkSPj04riMWtRPKWUpF+LtiLLTELM4q5/f6LhQKb3De9Z9PGI9uKsWk/qpT/PpNeLRS2oQ3ajjLV0h1MzspR8ncCg0KeV6rOV/6t24M5bj3IYEUSGchjhh/Hf5SgOxRKOYs+JPEFkSTgKYy2mksUkRfFEu5OZGSFm8bryQwu+z93ey3nnL760CaMR7Wiia4gfDr6KNYUjbJ/YhXsObQzORgEeEZdM7q/LUhpODjLh9jDpZugJ8xS1rltqMtaSNAE5N8uY2wPB7GNMOIrRQpmxYkBoDIGJ4yWl4nTrtOtIUTzR1mRmRojTNLK8FKIkkFlhXsz7hCjSUamhxpILVdKpuiyl7RO7GPSHQcUZTqFySBsfx0ZgLY6NSBufUDlxBtQZ9rQYa9l1PI8fGaLKxEu1OF5kLFNBiDVWiuKJtiXBjBDT3H7f1xsKZLJveF9TxiPak7WWIxNFsJZ1xRebvmOmjCZSGioZSQEOngnYkt8P1jKcHGRn7zZybhbXhKSNj2tCcm6WnT1XEGhv1kJ6VcZAuRLFxLtqqv+v4r5NNu6mvZRF8ay1jBbKHMuVGC2UZXlLnJEsMwlR0Ujm0t1s451vuL4p4xHta6wYkPdDesMc3dFU0x8vgSERTdWaQVbrDa8KxriwcIjnuy9kODnIcGIVvWGOpCnj6wReVGbL1MFZC+kNJ09lRk2fa7HEgcSp7KS47nBkIeXpJSmKdzzvs+dEnpwfYqxFK0VP0uXSoaykf4tZycyMWPFuv/+xhpaWDEggs0K9mPcJjK1lEi0VRXzStlS6XWO4LP8MF049X9vkMuH1ciK5Gs8EbM89OWshvdoS1RwMcUBT/VN97PN70k1PwT6e99nxwhhjxQBXK1KuxtWqllF1PO839fFFZ5JgRqxoU/f9Db8S7WgokJGCeCtTdYnJciqTaKlpbC2IStiAK3NP8cqRh08FKGcopFfUSVwbsWXywKxLTlXVWSCr4v0zCUdzXpNnRay1tYyqtKdxtEIpJRlV4qwkmBErVqN1ZADu4fJFHYvoHGPFgEIQ4SiYcHuYcrtbMo5q08kIhcLSG+ZqMy5nKqSHUpS1RyacpDfMzXpcgLTn0J1w6PYcHK3oTze/79JYMSDnhyRdPWMGSClVl1ElxHQSzIgV6fb77mj4hz9eXnrVYg5HdBA/NFggqePquzk307Kx2ErHboCy8mozLsnIn7WQXlWERmNnLcJnqW4CjvfNBCauDrwUfZf80FT2yMx+vaOQjCoxK9kALFacRlsUgCwvCeLy/cVhLs7tIxNO4pqw1UOKl4O0powmE07i2aBWSM/gzLh9tZCer+vrxaQcTWAMxkJgLC5x36Wl2ngbVx1WcbG+WQKayLKkGVWic0gwI1aUc1lauhvNO9/w3kUdj+g8ZuQIl489jmtDfJ3AMa1c8ojnZiKliSo/2QksgfLmLKSHtSQqhfQm3J66o2kNLprupMMVQ1lSnrOkfZf60x49SZexUkBa1S81WWspR4b+VPOXu0TnkfBWrBi33/fDc1xakkBmpTPGED77+KmNtWg8opaNR2GxKEo6BUqdmnFxkuzt3oBB0R0V8EwZjDljIT1FPBvjOYqXntfLut40A12JBQcy1fowL+Z9SrgL2qyrlOLSoSyeVhRDQ2jibKrQWIqhwdNqSZa7ROeRmRmxYtzE0w3dT5aWRNXEyRdJ+nnCysbahCm3IJfplAiHkpMi1G7djEu1voy2EY6N6IpCLIpAe+Tcnhl1ZiCOawZSHpet6Wl4Sen0+jCh08eDz40t6JhrskmuO7+/dpygUmdmKZe7ROeRYEasCI3WkbmHDbzzDb/UjCGJDhSWinjWEKl4mUPb1m1EDdEUnRSRcnBsRMIEhMrheHKQ7bkn42UwJ0nRpnAJSZoQg2Zv94a6QMbV4GnNZWuybFrV3fCsR7U+TK3jNjAVWMZLYV3H7flYk00ylEkwVgzwQxPvU1rC5S7ReSSYEcve/7v/1gVv+K3OxryzGQMSHctNpbFKozDE22hb8+VaXbhJRD6gMNoh52Q4kjqPi4uH8UyZgk6D0qAgJEGoPNLGZ8vUwTiYqQQGadfhov4uBtIeo4Uy5UowspDg4fT6MEopsPE+hrSrKEbx9UOZ+S9bKaWkoaWYNwlmxLK29eSjXLbA+9zNAO98w9uaMh7R2XpXn8eLiQxdfo4AQ8q0phqtAlwMLoYQh2FvgISNuHRqPwkTBzgZU6BEZQkKZtSXmfB6AciXI3Ydz/Pk8TxKgasVrtYLah9w9vowSjpui6aSDcBi2Srdf2uDLQokkBGz01pTWn8FFsiYwpK2MpiLS8R6/zj95dHaTJEBHGvoiop1qeNnqy9jLASRBcuC2gdIfRjRahLMiGXp9gb3yMhGX3E2fWtfgq/abxOqgyFEYysl70ylMnDKlGptC+aqLzOdBcrGzGgfYK3FTJwkOnmYaPwEo1N+raN1wlG1+jCzkfowotk6YplpfHycz3zmMzzwwAMYY7juuuv4X//rfzE0NMTjjz/Opz/9afbv309/fz8f+MAHePvb397qIYsWarQo3j2kZI+MOKveYIJJ69cq5baLuAmlwVQ2BJtKQKOtwcEQWT1nfZnTRcZiLLX2ARNHD9F19EnM1DgmMgQWCk6Ggz2bGE+vJptwSLqaQhDNUR/GSn0Y0VQdESZ/6EMfolAocP/99/ODH/wAx3H45Cc/ycTEBO9///t585vfzI4dO7j55pu55ZZbeOKJJ1o9ZNEijRbFi5eX/n+LPRyxHAU+rgnaKpCp0lhKOolFVeZo4nkax4Rz1peZjQWCyOAo6CuexNv3E0x+lFC5TOJRxiEb5Lhi7AlW+8OM+yHFIC7bN70+jAGKoZX6MKLp2n5m5sknn+Txxx/nJz/5CZlM3APlj//4jzl58iTf//736evr413vehcA119/PTfddBPf+c53uPLKK1s5bNECtzc4IyPLS2IhjOOhac+9HwZFqF0KpEkZH23j/TLaGnLe7PVl5lI2FtdYNuT2o0wAqW5K5SiekdIOZeWQMCUuzO1jYs0gxciSdh0SriLvRwQ2LujXl3LPqXaNEPPR9sHME088waZNm/jud7/L//2//5discgNN9zAH/7hH7Jv3z62bNlSd/tNmzZxxx13nPGYURQRRfOv2lm97ULu0ymW03O7qYH73A28/cb3dNzzb8b75jgze/i00kI/p0tl+MQJ+lo9iDlUG0uG2mUSTZcpUXDS7OzdFmcvLWBmJDKWZHGUbDSJTiSJLETWnjqEglB5dJUnyZYniLxeSlHE1ev6UEpRLIccevYA115wHq7rtuV7uZQW8zPbbp/VdtD2wczExATPPPMMV1xxBXfddRelUomPfOQj/OEf/iGDg4Ok0+m626dSKQqFwhmPuXfv3obGsmvXrobu1wk6/bltPfloQxt+N6++hp07dzZhREtjMd+3a665ZtGOtRga/Zw2W9fUcNsGMwkbUDQODoaEDQi0x+7s1loaNgtoLQDgBkWUCSn6YFSIrTStrB7FWBXvzynm8U2SCM2effvptnG2VIp4dl2cshif2Xb7rLaDtg9mEol41/3HP/5xkskkmUyG3/3d3+W//tf/ylve8hZKpVLd7UulEt3d3Wc85pYtW+jq6pr3GKIoYteuXWzbtm3ZRcTL4bn9v/tvXXAtGQOkbnwP25swnqWwHN63s1no53SpnNj/FPbZ59tyz4xnQ7BlDGrOtgVnU5t4UXDhmkESxQRoj0g7hOWwkisVBzTaGCwOOp0l6aUIreWyl2ymP+2tiJ/RhZDXo7naPpjZtGkTxhiCICCZjNdcjYnXqy+99FL+z//5P3W3379/P5s3bz7jMR3HaeiHqdH7dYJOfW6NZC7dDbxzmeyR6dT3bT7a9bmt3ngpxWcfxm3LfTOWF1LncbjrgjhjqYENt0rFmSGruhJc+JK1hCf7MPlRnGQXjlKE1fzrab2gjtpudGRYlU6wqjtZt9G3Xd/HVpHXoznaPpvpla98JRdccAEf+9jHmJqaYnR0lM9//vP80i/9Em984xsZHh7mW9/6FkEQ8NBDD3HPPffw1re+tdXDFkug0X5LyyWQEa0xfuyFSo5Q+9HA+tKLeCZoKJCBuHBeZGFtTwqtNc6G7SjXA79AQhmwFm0jUpXsqH2ZjUQowshyXjYpGUuiJdo+mPE8j9tuuw3HcXj961/P61//es477zw+85nP0N/fzze+8Q3uu+8+Xv7yl/OJT3yCT3ziE7ziFa9o9bBFk0lRPNEKxhjCZ3dilWqD2r8zWeLMpcvyzzBUOkFvMLHgfTIAjoYX8z7WWpxV63EvvwGVHcCGASnj49qQnJvl8d5tDKcGcXXcBuFYrsRIpZjeWDHAELc6qBbXsw2MRYj5aPtlJoA1a9bw+c9/ftbrtm3bxu23377EIxKt1HhRPKQonjgnEydfJOnn8XUSbSyOjdpqjsag0TaiLxjnmvGdRMph0s3Me++MqvxfwnHqeik5q9YzkRrk8X3PkrYBoZNgwuuN2zoohaPAjwwnC2UefG40Hou1hM5qXnhuFKXiCsEL6fckxEJ0RDAjBMSzMTfR2HSiLC+JRlhrsblhbLmESqQIiwU8a4i0R0mn6I6mWj3EGgt19W9CpQmVQ0+Q4+qxnRxNnceUl2HU65szTdtW/s9UZlCm91LyI8uE14tfaSapKoXxFBAaW+nPVKlErMAPLRZNObJ0exqtVa3f03Xn90tAIxaVBDOiIzQ6GwOyvCQaE40cITq4EzM1DsaA1nR5aQIMGkOonLaalTl9LCnjYwlQWDSWjcXnsUWwaHJuht09l845W1MK45aVU+VTNVGSrkYrRTm0lE2Esba2glVdPFLEy03FWhAUN30oRYas65JWmmJo2HMiz1AmIftrxKJp+z0zQjTaogDizKXUje9ZzOGIFSAaOUK4+0FMfhQcD5Jd4Hio0iSuiUhHPl3hmetZtZombiw5vbN3HFoYesMc14zvZNAfnvP+Ftj14kSta3Z/2ov7L4VRLaPp9C7ZWilQKi6uRxzcqErH7MhYlFK1fk9jxWBRn69Y2SSYEW2tkY2+VdWieEIshLWW6OBObBhAsgvluCiliJRD2UlhVLwvJUHY6qE2QNWqBCdMmS2TB864QbgcWXa/OHFq466tHiX+79nuaq1l+u5oRXy76tKVUwlupi9hCXGuJJgRba2RFgVwqiieEAtlc8Px0pIXpxkHkSXvh0yWQ0qRpeSksKozT526klRu0YClJ8zTG+bmvL0FThYC9o9MMVYM8CNDl6dxtMKq+Hpbd/vK0pOqP4ZSlVkb4rRvrRRJtzNfQ9Ge5KdJtK1Gl5fuRvbIiMbZcqmyR8YhiCyFIIyXSIiXVaJKINCpqpuEFXEad9KUz3h7Czx1PM+LeR9jLQlHk0k4ZBIu3QmHTMLB1fHxTGUHsVNJXbfEszJaqTgAspZyZOhJuvSnvaY+T7GySDAj2lKjy0uStSTOlUqkQGswEaUwqnwZg6pMNziY2lJNp9IYLGCUxteJU1dYS28wwZB/sq5GTWQtRyaKaKXijCWlcLXCczSeo0m50yvaKpLOtG6UQMrRhMZSDA2eVlw6lJXNv2JRSTaTaDuNZi5J1pJYDKpnEN3dR5gbIaKacRN/8SoLngmIlOrkyRkgDs5ybjZuewAM+sNsmTxAJpxEYzEoJt0M+zMbKfacRyGISCccpsoRaaXrghFXx8FN9WUxFjxHEYYRnuMSWos20J/ypM6MaAoJZkRbabRFwT3IjIxYHEopnA3bCXb9kGTZJ9IeRjloa3BtGYuK2wV0uEC57M1sBKUY9IfZPrEL14b4OhEX38PQE+a5cmIXT7ua4eQg5/ekOTg6RTE0JByNo+I9MOXIkHQ1167vI+Fq/NDgaXj2md1cvOlyAhOndvenPZmREU2xZMHM6OgoAwMDS/VwogPd3sCMTHU2Rir7isXkrFpPsPmVTO79TzLhJK4NsGimvB6cqEyX8Vs9xHNigGfTFxAol6HSCbbm9+GagKKTrhXTMzgUtSZtfF4yvo/jg/0MdXus6upnz4k8OT8ksBat1KwzLlEU8TxxSrc0VhTN1tRgJgxDvvSlL/Htb3+bKIq45557+N3f/V3++q//mqGhoWY+tOgw0qJAtJvedS9hZ7GLKD9MhpDQTYK1XHb8Z5RxcDswNdugqHaV2lx4js2F5zBK49iQCAfXRoQq/lpQgFWKsvbIhJN0lXP88DnNZUNZXrNhVZzdFBqZcRFtoam72L70pS/x0EMP8Zd/+Zd4nseqVas477zzuPnmm5v5sKLDNJq1JJt9RTMppbh0TQ/FVD9HE4OMe724URltDUp15kyDxlZCGYXCoDA4Ng7KHCK6oiKuif9d3RIUodFYkqZMObI8fizHMycnGehKsLYnxUCXVPIVrdfUYOaee+7hi1/8Iq9+9atRStHV1cUtt9zCQw891MyHFR3kXLKWZLOvaIS1ltFCeV6dnNdkk1x3fj/9KY/IWKZwMUpjbWcWfIvTpeO8rLgpg4bav+NZm5Qp1VXDi7O3FIFOVGrUwJPH80RRNOtjCNEKTV1mKhQKtX0y1RNGKpVC685OaxSLo9GlpbuRGRnRmON5v7bfw1T2e5ytk/OabJKhTCJeVgl6MVN7SU4eX+KRN85OW1qi8t8GXdsbYy2V/k3xLwnaGhwMEQ5YS8IE5NwsY5WsJ4gbS35/3zBXr++TzCTRFpoaVWzfvp0vf/nLALVpyNtuu41t27Y182FFB5ClJbHUjud9drwwxlgxwNWKlKtxp3VyrvYgmo1SKl5W6U1TzK6lkxaZqoGMqcyrnL4gZKddWq0QrIzBsRFp4xMqp5b1NN1kOTzr6ybEUmnqzMzHP/5xfv3Xf5277rqLqakpfvmXf5mpqSm++c1vNvNhRZtrJGsJZGlJNM5ay54TeYLIkvZO1UhxFAvq5GytJTv5IqdV7O8Q8ajtaQVyqktHvk7imQCHiIQNiIxDzs2yN7Nx1u7aCUcTGLukHbCttbLxWMyqqcHMBRdcwD//8z/zgx/8gKNHj3Leeefx2te+lkwm08yHFW2ukX5LsrQkzsVYMSDnhyRdPePL7/ROzgNdiTmOAsMvHiNZGGv2cJsibsJgsai4KF6taaQlUg6+8tDakHeyPJ3ZjO8k44J6cwQLCSfeQjyf120xNLJEKFaOpgYzR48eBeLlpu3btwOQy+UoFov09vaSSDT3h1+0n0aL4kkgI86FH5raF+BsHAXBWTo5H8/7HDg2zBWmMzf/QjwLo2oBTfw8LIqy8kjbMqFyeSp7yawzMdO5CrTWKGvP+rothuoSYRBZkq6utVWoLhFed36/BDQrXFODmRtvvBEzxwdfa80rX/lKPve5z0kxvRXiXIriCXEupn8BOrPEM2fr5Fxdpgqti1EK1YGtDHzl4ViDQ1SboQFFpBwUtn5JyVp6wxxJU8bXiRkzNMbGm4CtMfQGE6RzJSLTzYTXi18JOHoSc7+WC1kqWqwlQrG8NTWY+aM/+iN+8IMf8LGPfYwLLriAF154gT/5kz/hiiuu4HWvex1//dd/zS233MKf/umfNnMYog00krkkS0tisfSnPXqSLmOlYEZfoWon5/6UN2cn57FiwFgxIHB6KDjps3aabkdlnSBSDp4N8GzEE9lLmXQzJG1QF7DM1aNp+t4ZA6RyL7J58gA90RSJEcukVRScDAd7NjGeXk024eCq+tn3RpaKFmuJUCxvTc1m+tu//Vv+/M//nI0bN5JIJNiwYQOf+9zn+Id/+Ae2bNnCH//xH/PDH/6wmUMQbUCWlkSrKRV3ava0ohiaeFbB2nl3cn4x71OODEYpjqbWLvHoz50lzlRCKQLlYVEETpKJRB8nkquZ8HrrejT1hDkC7VLUSQLt0hPm2T6xi0F/GIibUr60ejvlkLcJyjhkgxxXjD3Ban+Y8VLICd3Dick426nRbLJTS4SzPzdHgVmCpS7R3poazIyNjc3oyaGUYmRkBIB0Oj3nMpRYHhopiidLS6IZTi+AVwoNkbH0p7w591xYaxmZ8nl2dKqWA3TS67xlcQUoa8HaWhE8z5QZ8k/SG0zExWasZcvkAVwbUtQpjHJAKYxyKOokro3YMnkAjKndrqxTRMrBKoXVDr6TxDEhF+b2kXbidPCnT05hjKlbKnK0iht6akXaPZUVNVsBw+lLhLM52xKhWBmausx0ww038OEPf5iPf/zjrFu3jqNHj/Inf/InvOpVr6JcLvOVr3yFyy+/vJlDEC0k/ZZEu6krgHeWPRvVJZHxUkBp2m/9mWhqKYe8aLpMkaQpYdEYpbl8Yg9aUVtGOpI6j0w4ia8TMzOYpvVoWu8fIxNOUtYJbLXwHlSCDYWvPVLlPGl/gilS5Mohh8aLDS8VnesSoVgZmhrM/M//+T/58Ic/zOtf//raD+BrX/tabr75Zh555BH+4z/+g7/4i79o5hBEC9x+399wE41N+8nykmi2agG8M5mePcNpdVm6o2ITR9dcDhaICK2l5CYxaDSGnjBPdjKPYw0+idoMjrYGozQR8Z8Elu6wgMYSTf+EWxs3R7AmzpSyFlMuYRNprIWpctRwNll1iXDHC2MUQ0PC0TgqnpEpR2dfIhQrQ1ODmb6+Pm699VaOHz/Oiy++iLWWO++8k1/4hV9g586d3H333c18eNECjc7GgCwvifZwevZMzq/vjj3lpFs0ssWkai0NDA5FremKijg2ImHKJGyItlGtoJ5RDmXlYVBMuV2YSmq3wcE1ISnjT7t9vEMnFRYIE6vwFHQnnHPKJqsuEVY3DweVwKg/5UmdGQE0OZipOnz4MLfeeisPPPAAmzdv5g/+4A+W4mHFEmu0RQFI5pJoH9OzZ8qRnbFXY9Lpbs3AFpHDtP5LAErh6wRuVCBtSkDciLL61B0bkrYhE24PR5JrudB9gZ4wT4Chy5Qq/Z7iCjbV4nybJw8w5XThJ8/jJX1pnhsrntNS0UKWCMXK07RgxhjDfffdxze/+U327dtHGIZ89atf5YYbbmjWQ4oWarRFAcjSkmgv0wvslYKZnaGTNujQdgb1tDVE6lSCRlQJQ85KKfZmNrJ9YhddUbEWyEC1yrCmoFN4RGyZOsjjmaFFWyqazxKhWJmasv37b//2b7nxxhv50z/9U2688Ub+4z/+g0wmw5YtW5rxcKINNNKiAGRpSbSfavZMEFlmy7X0bNDxgQyAUfWnf48QBfiVejRxJ21ba3dQ1CmSpkxvmGM4Oci+7g1Uawprqm0RNAUnTeh4tQ3DXeUJxopBQ9lkQsxXU2ZmbrnlFn71V3+Vj370o9KyYAVodHlJlpZEO6pmz4wUZy+Mlw4KSzyixWdgxgbehAmxKEoqCVrhYFDWYCsbgAHSxq8VDCy6XQTKpay9eIGpervK7Ep1w3AyKtc29spSkWiWpszMfPKTn+Thhx/mNa95DZ///Oc5fvy4/LAuU43UkQFZWhLta3qBvRmsZV3p+NIPapFZ4mAFa3FsRNr4hMoh0B5axcX1IuUQai9eilKqVp/G1/EvqL5OYJTGKlV3u6rq7QM3Ubext7pUtLYnxUCXtCAQi6Mpwcy73vUu/vmf/5m/+Iu/YP/+/dx4443kcjl++tOfEkUz16BFZ2o0c0mWlkS7W5NN8rIL+vFOO0P2hjnSUefPzGgsqahE2vi4JiTnZvnP3ivJuT0kTRAX0ZvOWhImYNLNxG0PgAm3J26HcMbbd0P3KqkBI5quqSUTr7/+er7yla9w77338hu/8Rt89rOf5YYbbuCzn/1sMx9WLIFGWxTcjQQyojOcl03xqgtXkZg2Q5M0ZdxZd9J0DkMczLg24lhiNQ8PXMtPBl7GcGo1ezMbCZVD2vg4Npoxc7M3s7E2+5JyNfvOcPtIORzsvpitQxmZfRFNtyT1n9evX88f/MEf8MMf/pD/8T/+Bz/72c+W4mFFk5xLiwJZWhKd5LyeFK+6aBX9KQ+t4s7Tms6dXTaVbb2GeMPuutKLYAxD5WF6gwmGE6vY2buNnJvFNWHdzM3O3m21RpOeBq01E+nVHBy6iryXxbWnbp/3sjy35mocz2MoU7+x11rLaKHMsVyJ0UJ51hYGQizUktSZqUokErztbW/jbW9721I+rFhE0qJArDRrsklet2U1o4UyB56dbPVwGmZQtQylqgQhrxp9CKO9uu7YPxl4Gb1hjqQp13XUrgoMBCYi4SguuHgDyU2bCCZOEpWKOMk03X2reWnS4fHHH68bQyNds4WYjyUNZkRnazRrSTb7ik6nlCI0UCwWMcpB286bndFz1JBxMUzhYLSudceePgtzJhZ49MhEnFq97vy6607fHzm9RcT05pHVrtmSni3OhbQZFfNyLllLskdGdDprLU+dyFFQifqU5mUiZX0Mur479lmWf7SCpKMJork7Xled3iJiIV2zhZiP5fepFIuu0aUl2ewrlouxYsBEKcSLyji2szcAn86g0DZubzC9O3ZvmMMBEtOaKU3fxmsqDSRDYxgrBowVgzkfY3qLiLN1zRaiERLMiDOSpSUh4hYHfcWTbM89Wdk+uzyYSgVfBahKkBah0dg4c8uJA434VjObHahpLQlezPtzPs6pFhGzX+8oMHN0zRZiPiSYEXOSpSUhYklHsSm/H9eG8+le1BEsCltpaWCh9t/Ti+MpFS8Hoebu2lTt6HRkojjnMlHS1WiguzROf+E4GX+8bhnrbF2zhTgb2QAs5tRIvyVpUSCWo95gAieaIlQOHp29FFJtkqmwKBvPzUTVVgSVYnc5N0vO7cEzFu3EnbBn2/Jc7SjuKCgEEWPFYNZGkL2FE7xs5BGSfh6NiZtRJjIc7tvCWGpwXl2zhTgTCYPFrBotiieBjFiWAh9PQXVJppNZqC2UVTOcSiqJg6kVx9uX2ciGVd0kXE0pmnt5qMrT8ZFmWyYyo0cJn/oRPUGOSDmUVJJQOXSXc2w+uZP05Il5d80WYi4SzIgZzqUonhDLkUqk0I4m5WpUhy80qcr/bCUss1gSpowbxTMyu/q3sf6iDVx3QT/Xnd9PX8rlbFtZAmNmXyayFvPs49gwQKe6SSWTOI4m0nFQ45iQS6YOcN36PknLFudEghlRp5HMJclaEsud6hlEd/fhRJ29xARx8FKdnbHEXwJKKUpumv2ZDVyyeTNbh7JAXDDw/J7UrMdR1fsS73lJeXrGMlEqLGALE+AlUUrhOYps0iWTcOlOerjJFH1mitU237wnLFYECWZEjSwtCTE7pRTOhu3gOK0eyjmxld0yGouDjTcBA6Fy6IqKXDnxJAf2H+B4JTPpeN7nqROTtX029cc6tSlYAef3pGcsEzk2BGNA179uro4DG8d1wRhsubT4T1asKBLMCAD+3/23ytKSEGfgrFqPs+Gqjl5kUrXw5dS/LYpQu7WCeRdO7GP3i+MMT5bYeXSCwFRCIMWMvTPVIzkq/nN6r6VIuaA1mDkqJpsItEYlZp/9EWK+JJtJsPXko1zWwP2k35JYSY7nffYEQ1yu0mRssdXDaZg67b9NNZNpWsE8f2KE/yiGhPbU7ayNgxlHVZaoKtdZILTw+LEcnhMvNV06lGWwy6XkdqG6erGTY1jt1M3cWGsh8NHZAVTP2VsnCHEmMjOzwpUamJEBWV4SK0u1r5Aaf5EEYauHs6gC5dWaSE4vmBdaasXyoJIFZesDmapqQb1yZBgplNnxwhgnJn1QCn3xS1GuB34BG4VYa7FRCH4B5Xo4G7ZLFpM4ZxLMrGBSFE+IszPGcOjQIXonX2TrxB5UBzaZnIsFjFK16GR6wbzq9QDaGs4vHmFzfh/rCkfifTAVirjg3amgx1KODE+fnIo3GA+sw738BnR2AKIA/AJEATo7gHv5DTir1i/V0xXLWEctM0VRxG/8xm+wfv16PvvZzwLw+OOP8+lPf5r9+/fT39/PBz7wAd7+9re3eKTt71z6LcmMjFgpopEjlPY9xqb8GK4JcO3ympVRQCoqkVABJZXAIyLnZplwe2q32TB5gC2TB/BsUJuBuVLtZm9mIwcyG2tBjKoERZEl7rVUDklUvmKcVevRA+uwuWFsuYRKpFA9gzIjIxZNRwUzX/7yl3nkkUdYvz6O5CcmJnj/+9/Pb//2b/OOd7yDHTt28MEPfpBLLrmEK6+8ssWjbV/Sb0mIs4tGjhDufhAVlLGoODNnmammZzs2pNuG+DrJ3szGeNnJGK6e2Mn5pWNx+vW03TYJG3B5/hkU8Gx2U/1Bbbyx2Ni4snCVUgrVu3opnpZYgTpmmemnP/0p3//+93nd615Xu+z73/8+fX19vOtd78J1Xa6//npuuukmvvOd77RwpO3tXAIZWVoSK4W1lujgTmwYYBNdeCZgZnJy59OAU0m8tihKOslwYhUbJw/wX45/nwsqgQyV28VFkDVRpeze5skDdUtOQKWPk0Ipll2HcdG+OmJmZmRkhI9//OP81V/9Fd/61rdql+/bt48tW7bU3XbTpk3ccccdZzxeFEVE0fzXvau3Xch92lGjm33vBt5+43s67vkvl/dtNs14bk6b1VBZ6Od0MdncMGZqHNwkjo1QNpq11spyUK0XU1IJkqbM5bmn2Fh4ftZKxxqLtQajNMYaPBuwvnSUI13rsbYyywOEkaEv5ZIshsvy89eIxfzMtttntR20fTBjjOEP/uAPePe7383WrVvrrpuamiKdTtddlkqlKBQKZzzm3r17GxrLrl27GrpfO9h38tGG9sgYYPPqa9i5c+cij2jpdPL7djaL+dyuueaaRTvWYmj0c7oYussTrPd9ytqiMSznQvvVpgYJGxBZzUWFw/EyEbNP3SssWFurHpwKC0TG1I5krEFh8fIjKOKfUQv4uERK41hDknBZBobzsRif2Xb7rLaDtg9mvvrVr5JIJPhv/+2/zbgunU6Tz9eXwS6VSnR3d5/xmFu2bKGrq2veY4iiiF27drFt27aOjIhL99/aUB0ZA6RufA/bF3k8S6XT37czWc7PrWqhn9PFNPLiUcyeIxg0Bk0CvyXjWCoKcCs7aBzstP0xs5cIrM7aWGDK7QKl0YDrKPpTSbau7mZVei27du1izYZL2DdSJFcOsTbejtOTcNm6upuhzHIOE+uthM9sK7V9MHP33Xdz4sQJrr32WiAOVgD+9V//lY985CP8+Mc/rrv9/v372bx58xmP6ThOQz9Mjd6vlRrdI7OcspY68X2bL3lui+943mfHhMtLnW56gjy+TmKUg7OMUrLnUtsXcxbVNpWB8jieXkvSUWwZzLC2J0V/2kMpRRRFFFSCnS9OEkSWpKvRKq5VM+6HPHo0x3Xn96+4BpPL+TPbSm2/Afi+++7jP//zP3nkkUd45JFHeOMb38gb3/hGHnnkEW688UaGh4f51re+RRAEPPTQQ9xzzz289a1vbfWw28K51JFZLoGMEAthrWXPiTyBgSP9W4i0S9L4lJXX0W0M5stUzhhxsKKYa/tunKKtONy/hUwqAUpxYtLHWsuLeZ/RQhljDGOqmyCypD2No1Xc40or0q4mMPFrbU+vwDeNtZbRQpljudKMVglCTNf2MzNn0t/fzze+8Q1uvvlmvvjFLzIwMMAnPvEJXvGKV7R6aC3XaB0ZyVoSK9lYMSDnhyRdzURiiH2rt3P+6DOkg0mMctDLMD27ysTbe4Hqb7mm1l379F+KAu1xuG8LL/RtrhTNg5OFMg8+NxrfXylSjsJXLt2OmlFPRikV16LxQ8aKAQNdiRnjOZ732XMiT84PMdailaIn6XLpUHbFzeaIs+u4YKZaLK9q27Zt3H777S0aTXuS9GshGuOHpvbFCXAysYrnB15GNsixpnSCzZMHcOoqriwP1eRspxLO1ArhcapVQfXvE93reWb1NXEDSSCITOV1i2+TdDXGQr4cEaGJrGW2RRVHQWAtfjhz/qfaPuLU8pTCWBgrBex4YWxFLk+JM2v7ZSaxMNKiQIjGTf/itNZSCg0WRd7r5WRqNXqee0o6TRxOWEy13sxpy2rV/TEH+i/nmTXX1QKZ6mtUDWQ8R9eWkpJO/EqVZglWACIbz+Ak3fozlrWWPcdzpItjrAuG6Q0mULCg5Smx8nTczIyY27m0KHj7je9Z7OEI0XH60x49SZexUoCnFZGNgxelFMrCXNk9nc6BSqq1JVIOJSdNyabwCHFNiKNg19D1nPB6SVtbWzaKLESm0tdJx0FMlavjwnqRVYSRwXVOBS3Wxv2b+lMe/WmvbiwTRw+x6fB/kgknURgsmkIiw+G+LYynV591eUqsTDIzs0ycy9LS5tVSs0AIiIOWS4eyeFrFyx+V2MVicW2wLOdlquFZdUmp1kVbawKdwHfSRGhs6KOAYmgIjcVaS2hMbQkq7dYvJimlcDAooBRNv4+lGBo8Hb/W0/fTRCNH8Pb9hEyQI1IOZZ0iUi7d5RybT+6kr3gSR4GZY3lKrFwSzCwD57K0lJIZGbHCnZ4xM5RJcN35/fQk44nr6ldmpL0z5Pe0r2qF39kvr4Ywp27n2aDWRRviTtpWaYrKw3M0PZ4miAxT5YgoMvQFE5wfjNAXTtTdD+J9OJ6jyCZdIhMvSUXG0p/yZux7qbaQUFGA7ySJtANKYXQc1Dg25ILxvUTGzro8JVY2WWZaBm5q4D7VOjJSalysZGfKmPnFTYP864Fh8n5IytGsKuY68rc/RRyQVbOSqht5J51uUAptDanIR2Pi21iDgyHCAWtxTUDOzTLq9GD9kKKO+y6t8ofZlN9PdziJshZU/XKQtRaDZjDl8ZoNqxgvhfihIenqWi2a6aotJHQihRPGy1dKVeZ9lCJUCbrKk6RKYzg9q2csT4mVrRM/m2KaRpaXpI6MEKcyZsaKAa5WpFyNq1UtY+bkVMBLz+sl6WgyhZNsGn+61UNumAZ0ZXOvrV0W748JtEfRSWFRtQ3OyhgcG5E2PqFy2FftpA2ExtJXOMmV47vIBnkC5VLSScrKoduPl4OyUycohhaNZevqbrTWDHQlWNuTYqArMSOQAbDlUty0UjukXCdu3G2p5FdZIqXAGtI2mLE8JYQEMx2skeUlyVoSYlpxvLMUdBvKJLhufR+XTO7H7fgaM5ay8qg2IzCqcvawFqsUZe1ViubFfZpcE5Jzs+zs3cbJ5OCpvTU27patTUDZSaEqy0FWOZR0Em3i5aA1Jsem4iFWm5mZR7MVw1OJVJwlZSI8R9HluTi6MlYLyhqU1lzS6zJYOoGZOCkZTaJGlpk6VCOZS8upRYEQ52J6cbyzFXRbbfOUwjydnsmkgKQt17YwR1bh2pCU8dE2qs3ZhMplX/cGTqZWM+H21GZkqvrDHJlokrJOxCtAKLSycd8lrTBWM+CPkn3xpyjAf+x5vGw/zobtOKvWz720tzpLf3cfJj+K1Q6eo/AcN944bCyOX0RpRfLQfxJYC1qju/tqxxUrm8zMdCBZWhLi3Jwqjjf79dMzZmrLH8tAdb8MQCYq0BUVcGxYu6y6Ifii4mE8E8wIZAA8U0ZX9sNMZwFtQpJRCV1JqS6qJEWjCXMjhLsfZPjwc3Mv7R0ZJ3fe5SjXA7+AjUKstTg2wi1PoUxlY7KbgGQXOB4mP0q4+0GikSNNfNVEJ5BgpsPI0pIQ5256cbzZTC/oVlv+WAYs4KsEEbpSyTjeYKuASDkUnC6mnDSujdgyeWBGdhJASScwKHQts8vWigymIh+FxaIw2o0bTiqHgkpiw4Dw2Z0EoZlzae/Jcgb3slejswMQBeAX4r8V4HiQzqKc+LjKcSHZhQ0DooM7ZclphVsen9AVotGiePcs+kiE6GzV4nh+ZGbdz1GODD1JN8666RnEya7iVJH/zqWAlC3jVuq/ABgUJZ1k0ukm1C5U9s9kwkl6w9yMY0y4PUy6GRImwBhLZOMgycXUelcZ5dT25CgFEXE/p6SfZ9Dkz7i0N9E1hHftL5O46nV4216Lu/k60A4ku2a9H14SMzWOzQ0v8qslOokEMx3iXIriyfKSEPWmF8erLwI3s6CbUor82ssp6+XXC0gRZzWlTBnXnirTEKHRWJKmXHfb+D8UezMbCZVT22+DtTg2rCxjacpOsrZEpQBsfExlDYlpx5xu+tKeUgrduxpn9QWoRDqeIdKzdXgivtxUlgPFiiXBTAeQfktCLL412STXnd9Pf8o7Y0E3a+Plj8f7X9riETdLnLCdMn5tWcnBYFD4OgHW0htMsNo/SW8QF8YbSQ7yeO82cm4W14SkjV/bR1PWSSLtTTs6oE4V3yvr2VsQnN6rqZrxNBLoeJbHzFETy0SgK8uBHWq27C6xMJLN1ObOpd+SzMgIcWZrskmGMgnGisGcBd2qmU/rVVDXUXq5qBbV0zaKi+VZTaJSKM+Lyrwy9zMy4SS60ohy0s2wP7uRk8lBhhOr6A1zJEwZX3lcOfkMmTAfB0WVF8raeNbFMwFTySzDTrauv1N8m/peTXUZT0ZxLV30lHLoZDeeW9/jicBHZwdQPYNL+8ItkjMVbpTO4PMnMzNtTJaWhGg+pVRdQTcg/i15osjY8aNEJw+T8cdIB4VlFciY056NwtZmWULlcDw5yPbck/SEOQLtUtRJAu3SE+a5cnwXq/1htFbkEr2cSAyCUhxPrMKgSERFlIlq2Uhd1ke5Hu7F2/EcXVvaM8bgh3FrBA1sXZ3hxGS5PuPJczjct5lAuUSlKYIgwFqLjULwCyjXw9mwvSOL6J2tcOPxvN/qIXYMmZlpU+cSyMjSkhCNqf6W7E4c46KJfRBOkcBwFZpwmfzuF9fT1VilMNbUqv5CvH8m52bZ272BLVMHcW1IUadq+18MDkWtSRufTZMHGEkOMlgeYVN+f232RmFR1uKZMh7gOi5udhXOhu0MrlrPdZXXeKwYEESVRpUKtFXsOZmnHNpaMcNqgJLrHmKfeinrx/bSE0zhRuW4zkx2oGPrzJxeuLH6XB0FaRUHfNXCjZ0YqC01CWbaUKOBjCwtCdG46m/J2amTXDb+BI4JCbRHmbjBZDLs7A2mhuqSUtzrCBsHMSEag6bodvFY7zYmvF56wxyZcDLeM3P6F+m0bKeXTD3PxkrQU9YJLJouF5yoDEpzwuvj/Cuuw+kbqn0hr8kmsVh+dngMY+MsJs+J0+TjAKf+y71qomuIkeQgXf44Vw0m6clmUD2DHftFv5DCjdUZQzG35fGrxjJyLpt9JZARojG135JDw+bJ/Tg2pOyksNpFa4VRzpwbVztFnGlU6b9kTaWwHVjlEDgJnuy5lIlEHyhF0pQre2RmPxtFaLSJuHjqWRKmTKA8UHFbA+V46FQ3GkumnIfsqhn7Y54+MUlkoDsRV/qNLLUihhYoz5IyD+BoxYTXS7FnLbp39bwDmXbcYLuQwo3i7GRmpo00utlXlpaEODfV35IHTZ6uYJJQnZqRqH3taY01alqrxs6iqKZcm1phu0C55Lxe9mY2Mpw8tYHWn1YYzzAzJTphyniEJKIAADeKMMbBd5IoFRe1s26SRGkK8iPQv6Z23+kzEmE1i8zaum4RoYmzm9zTvuhPz3iaj3bdYDu9cKMzS0DTyHNdySSYaROytCRE61R/S06YMgpzqgljhSUOBOy0/SWdKFIOz3RvouimCZSH7yRn7b9ULYzXE+Ypal13vRsFpE2pEnuo2t/aRqSjIo5xQCdAO3HQdFr9l+prHVVq+kxLfAJOxTRBGOEmTn1FnZ7xNB/VpcMgsnXBQ3WD7fQU/KVWLdw4VgpIK33G7C5xdhLytQFZWhKiNay1jE75lEZPMFg8gRv5WKvQtn5qXwGYuRZdOoMFHBuxzj/OkeRaTqSGmPB6Z+2/NL0wXjoq4ZkybhTgRT5dpgCAr6p1XRRWxX8UFusX44tNhEWRt+60zLBDpIqjKBvPyFQDmWpxQqVULbDxIxtvEJ6jmOFZn+88O6O3aslpIYUbxdnJzEyLydKSEK1xPO9z5LkDDA0/Q1+Yp9/GdVS0jdAmwldd8R6Qyu1TprM3ACvAJaIvGOfnRn7KUz2X1C0tnW44OcizXS9hy+QBuqJirUmlIu7vVHYSeFGAYw1Y0FrFXZ5MhA0DTOCTc7M8e2SEi3MPQzjFFIaE4/Ayp5vd6Q2MJk/fwBsHFroy4NDEX+5aKfpT3oKWhjphg221cGN1GSywjT1XIcFMS0n6tRCtcTzvs3/fXraOPIFrQ0LtEWoN1uBGIa6JgEJczRaNg8EjbPWwF4UCsmGe7RO72Nm7bc6AZtAf5uLCIaxSFHQabBwMJU0ZzwaE1sN6aVRQQFsLthLuWIPxixSVx4vJ1Vw+tqsuM8wxhkyUY3s5fvzR1GAtULI2nijqch1Ca7lsKEs26c5azPBsTm2wnf0+joKgDTbYzqdwozi7Tp417WjSokCI5jlT9oq1lj3Hc7xkYl+cUuykMNpFK43ScefoUDlgwTEhaevjmbDDd8vUUxi8yOey3DMMlU7U2hTUWMuWyQO1OjOhTmDcBJGTqMzOWJKmhOMlUOkMOC7VCjagmHK7ebJvG2vKJ3FMfWZYpBxKOlXXmbvavdzRim7PRWmFVorB7lPFDBf65b6QzuitdnrhRglkFk5mZlpAWhQI0Txny14ZKwbYyRGy4RThaXVUFAqtwSdFWhnMhqsxXoq9x0a4ZORJHIIWPrPF42BxiEiE41w3/hiBcpl0M7Wspul1ZpRSlWwbVemG7aJtiFNJ71ZuAut4EIVQLhKlevhp3yvoD3NkwgKh9qa9xgql4uAlchJkoynOs5Pkkn3oyn4Wa+M9I+e6+VU22K4srQ9JVxhpUSBE88ynPLwfGrzQnzVrCaqF5eKu0dlMlmLPOsoqgV6mZ0vHxrNOPZWlp0F/uFZnxlbOVrby/xYoOUkslRT1MG4tgIkgLKMSKQoXXoVRioSdPTOsGlK4jou2BhX6cZfsyh6Zxdr8KhtsV5Zl+vFsT7K0JETzzDd7JeEoAjeJRc/IWoL4i1tjap2Yk64mcJMY26kVZs4uaXzKOLgmZMvkAXzlgdKkHHCUwlow1VIwjgeJLpR2MCbClAqYoEyY6GZq9UZ8HJS1lFWi9hrbuv8BClxl8FyXVLrrjF3Lz8V8O6OLzifLTEvopgbuI0tLQszPfLNXAFRmFfmxbnrCPGWbmrYMYrHGkrIBTmYQ1TNIP7A2GMGzwTLaNXOKAhwMGVPEoOkJJtBAwcvQXc5hdBKUqu0vSTgKUyoxnhxgT89W+oonWVN8kVRhEl14im71NFe73RzIbGTS7SYbThJQX6vGIW55oLMDXHPpRsZLYdM2v8oG25VBZmaWSCPLS7K0JMT8zbc8fDmyXLqmh0O9mwmVSyIqoU2ItQZMRMr4OF4Ct9KJOXzuCS4cfapjK//OVzwjFZGwAavKIzzVtYFQu6Ssj2MjjDGUy2XC4hRFGxff82zIBVOH6IoKBNqlpJOEyiEb5LlifBcvJlYTKoeU8dE27qKtbYQXlYi0i7NhO1rrpm9+lQ22y58EM0ugkeUlWVoSYmEWkr2yJptk0+YtPL/mKvJeD9pGJCOfBBE6O0Bq28/hrFqPMYbo4E6UjfePdHbZvLNRtYytdaUXGU6s4om+bUwlenBtHORpEzKqMzzZdyWF7kEurGSElXQKW+nNFCmHwEni2og15WF29lxBzs3i2pC08fFsRN7L8syql6IH1s05GmstZuIk0cnDmImTbdFPSbQvWWZqskYyl2RpSYiFW2j2yppskqErLmWssJFgYpiEKZPNdNc1MDTH9kMQd4Cmsnfk9PL7y0ncv8khFZXoC3OcTKxiPDVIujROwpTxdaLW/mB1aYzucDJuwHnaTEeEwlY6awdOgodXvZxBm6ebgMBJMu72EFm4aI6CddHIEaKDOzFT42Di/Uu6uw9nw3acVeuX5sUQHUWCmSaSpSUhlk41e2XHC2MUQ0PC0TgqnpEpR7NnryilGOhOQvfsX5C2OEmt7q0FZc0yDmQMFk1JJ/GISJgyxsZtBXyvd+btgzLa2ln7WEHcyyqBJWnK5ICTOkvBc3EdhWMtQWhmLVgXjRwh3P0gNgzAS4LngIkw+VHs7gfh8hskoBEzLOc505aSpSUhlt5iZ6+odIbaPIwCvYz3zRjlUHDSWB331fb1mUv8T++sXVV9daqbig2KQCfQKp7RKoYRMHfBOmst0cGdcSCT7EI5cQdu5biQ7MKGQXz9aUUQ5yqQKFYOmZlpgkaL4t0DvHOxByPECrOY2St67SZ4+qfYwGcZxzFYoKjizbtpE/dUmnB7znif6Z21S6d11sZaEiYg52YZd3vQtWJ5ljAylCsB5ukF62xuOF5a8pKzZqRZL4mZGsfmhlG9q89aIFGsHDIzs8ikKJ4QrbdY2Staa4rrrqgUiVveukyR7qhIqBz2ZjbO3k17ummdtavZSliLU9ksHCqHvd0bKnuN4iI1xkJpjiU/AFsuVfbIOLM/pnbAGGy5NK8CiWLlkGBmEUlRPCGabymXFay1PJ64kGd6ti7biZlqBpOqFLTb2XPFGbtpx3ey9AYTaCwHMhvIOZlatpJrQvJulsM9G/GIGAgnasXyFJBNunMu+alECrSOKwrPpnK5nRrn0KFDBKE5Y4FEWXJaOWSZaZFIvyUhmm+plxWqhfic7iH8/EGS1l82MzTx13wlawtNoFys0gTOmffKDPrDbJk8QCacRGNxHQe6ewlXbWbvpEL5edYXX+Ti3H6wESiHKS/DvsxGgp7z+MWNg+g5ekOonkF0d1+82Vc79RlpQRlKk6CgvP8xNlnFOi/DC/1bGE+vPnWMaQUSx+bIlhLLj8zMLAJZWhKi+VqxrFAtxOeEPkpBSS2ffRiKeFYm3sRrSdgA10YkTXnO+wz6w2yf2EVPmKsVycP1cAvjpI89xeZUmQ2Tz9IV5AiUQ6myD6e7nOPK8V1clS7MGchAHIg4G7ajXA/8AjYKsdbGy0/FXLyLOJHGJOLO5pkgx+aTO+krnqw7TrVA4mzZUmJ5kmDmHJ1LICNLS0LMz3z7Li32skK1EN+kdePMHDXHXo4OVc1EMpXGkY6N4r5Ms7GWLZMHcG1IsVIkT+lTmUZRUMY9/AROFFDSKSLlYCtF9EI3RUpF9Ly4+6zvkbNqPe7lN6CzAxAF4BegXIxr/aSzqEQapRVGO/g6iWNDLhjfGwc6FXNlS4nlS97pc9BoIHM3EsgIsRDz7bs0VgwW9XH70x4pTzNaydzJmMKiHr8daFVfBFBVLjtdb5gjUymSp1Tc3EErhasVoYGSUTgmxGinEmyeOm7Kc9GJVC0T6WycVevxrv1lEle9DnfjVeB6cSDjxUtGrlZxA0wUofLoKk+SKU8Apwok9iTdGdlSYvmSYKZB57LZV5aWhFiY+fZdWuxlBaUU5/ek48yd7g3L8oSprEFjscSzKAk7e0CYNGU0FmUtromXpBKVN6QURpWMr+o2X4XmVDBTCqO6TKR5jUupuBpzV298JKd+i2fKdVAKQjQKgxv6hMZSDOfOlhLLl2wAbkCjm31laUmIxkzvu+TM8v3UzGUFz4nTspO2XPuqXm4iNL72UFSK4c2yEpQOC3gmwMOvJaor6xKRJrIKT9lZU9iVgshaojDE0TrOWFqAugynaQGN5yi6cCmXyxirmcKtFUiUOjMrjwQzC3QuS0syIyNEYxbad2mxHM/7PHNyEoDusLDsAplqzFLWCVwME3MUyxv0h9k8eYBqIrehMnNiQihN4uoUjjWE2kXbEKw3vXAy1liULaN7VqF6zpL2fZozZTi5GlwVEmX7uXTDRSQ9p+ECiaKzLcdZ06b5f/ffKktLQrRAte+SpxXF0BAai7W2qcsK0zcdd3txqf/lyiMk0i6H+zajq69hpZbMUOkEl+WewbUhBZ3GotFUvzwUWEMqKlbuv4VIeyRMCW3iInrKxEX0cDycDdsBFlQnaM4MpygEv4ByPVKbr2Jtb/qcCiSeibRMaH8yMzNPW08+ymUN3E+WloRYHNW+S9U6M0GlzkyzlhWmbzp2tCJKZWFiUR+i5apf+xY41nMRk5k1JMOI7skTtVoyjo3wbECEQ6gVRSdN0pRwsYCNgwerOJjdwHDvBiaTfVwwvpeucnxfi0Mx1UvmsmsZTgyy5+DIgusEOavWw+U3nOqkHfhxJ+3sQNM7aUvLhM4gwcw8lM5hRkYCGSEWz2L2XTqbU5uO42OnVUSIg8sc1WnbTBkHD8OpGr/U7fmxlT+Bk0RZy9rcc0wm+wgjwyUTu3BtSKATYDVeFOAQkY6K+G6agtNNt6twdXxEVfYpe90UQ0OUHGRszSq6SuMYfwqV7GbrhosYVoodL4wRRLZuD1S1TtDZGoE6q9ajB9Zhc8PYcgmVSKF6Bpu6pFStbdTomMXSkWDmLG6Xzb5CtJVq36XFYK2d88vx9E3HgZMkdBKYqEyiAwIajWVKp0lZH8ca1LSgxgAGh8BJEjmJSmPIEheM7cVai2tDSjqF1iou3xJV85QsiahE4HajXBelFTYK0a7D5rWDlAtebdbMT/SibILrLj6PoWySBw6O1OoEVV9jR0FaaYqhYc+JPEOZMy8TKaVQvavnvH4xnV7bqNExi6XREcHM008/zec+9zl2796N53m86lWv4qMf/SgDAwM8/vjjfPrTn2b//v309/fzgQ98gLe//e2L8rjSokCI5SsaOXJq2cKYeNmiu6+2bHH6puPJRC/FRIZMcbTVQ58XjcFqzaTtosuUCNGkKu0YFAoHA8YHpYi0R6gSdAc5sHFGEyrOTDLKwSgHbaO4tow1eBhcXWkgGfjo7ACD563lNVCbNfM0PPfMUYYyFy6oTlC7tB/oxDGvZG2/AbhUKvHe976Xq666ih/96Ef80z/9E+Pj43zsYx9jYmKC97///bz5zW9mx44d3Hzzzdxyyy088cQT5/y40qJAiOUrGjlCuPtBTH4UHA+SXeB4mPwo4e4HiUaOzNx0bOFQ7+a4Em0H0IAX+aRtGaM0LgbNqRYGoHCsIRkW0SbAKIW2BmUNFh0HMnGza8pOclodGUhq6jbgOhu2x7Mm07qV96e92kxQq+oEnYtOHPNK1vafyqNHj7J161Y++MEPkkgk6O/v5x3veAc7duzg+9//Pn19fbzrXe/CdV2uv/56brrpJr7zne+c02Puvu/fZI+MEMuUtZbo4E5sGECyC+W48RdxpSy/DYP4emtrm477Ux6RsbzoreJw5sJWP4V5S9iQnO6mpJMoNa25pDr1p7p0hInicEdruj1Fd8LF0XH4EiiXkpvGKAcFOFEAUYDODuBefsNZN+BOX7KbTTu2H+jEMa9kbb/MtGHDBr7+9a/XXfa9732Pyy+/nH379rFly5a66zZt2sQdd9xxxmNGUUQUzb3mfREHFjzOu4G33/ieMx63HVXH22njng95bgvjOO3Vd+hsn9NG2dxwvLTkJuMSb9O+rBQK6yYxU+NE4ydQPYMMdrm8+sI+xkshfmgY7buKYNezeG2+byYCQu1xqPsCLpt8Bl/HG30dG2EtGFVdcAIHQxcBNrsKVwNT4+C4ZBIOkY0DQIWDE0SQyqI3XIVOpiG7Kl6mmuV9mv4z2pPQZBMO46WQtKtm1gkKLX0pl56EbpvP62KPeTE/s+32WW0HbR/MTGet5Qtf+AI/+MEP+Pa3v83f/d3fkU7X135IpVIUCmfun7J37945r9t68tEFz8oYYPPqa9i5c+cC79k+du3a1eohNI08t/m55pprFu1Yi+FMn9Nz0V2eYL3vE2oDapYO0dbi2oDnnt7NVKJ3xtUvqh7c1FouKr3QlPEtlrJKoFF0RQW0tfgoSjpBV1SK2xfYahwXtygIreUoGTCwNhxFBxNE2q0tLzkmJFQOx1QfU0dGKo9y9teg+jPqqgRG95APFbqy0GUBg0ZjcXPDPP74oea8GA1qxpgX4zPbbp/VdtAxwczk5CR/9Ed/xO7du/n2t7/NJZdcQjqdJp/P192uVCrR3d19xmNt2bKFrq6uGZc/98DDDQUyqRvfw/YF3q9dRFHErl272LZt27KL9uW5dba5PqfnyuaGCR8/hqe9eGnp9OujEIxm09bLZ1SrtdZyfP8wz5mLWO+/iGvDtqwKbAGjHcAy5XZjUGhlCZVHEUXS+GgbVfbQWAyaQwOXsXX7NSilMKNHMc8+ji1MVDZHO6iuAfTFL2XzwLp5jWG2n9ETkz5Pn5wiVw6xNl7p6km4bF3dzVDm/Ka9Hudisca8Ej6zrdQRwcyhQ4d43/vex7p167jjjjsYGBgA4pPdj3/847rb7t+/n82bN5/xeI7jzPhhyt/3NdYxx+LoHJZT1tJsr8lyIc+tMzXrudm+IUy1PL7jzFg+IIyzc5y+oRlZLKOFMqGxFNweppwuesJcWwYzEQ6uiSikehnPnM9k4QV6wjxFrQm1S6hdHBuhTIRnQya8XvanLmBd2TDQlcBZfQF28PxFqeky/X1c29vFeT3pJakTtFgWe8zL+TPbSm2/c2liYoJf//Vf5+qrr+bWW2+tBTIAN954I8PDw3zrW98iCAIeeugh7rnnHt761rcu6DHy932tUs1y/iRrSYjONJ/y+NXsnNPFGS6wLholZfzaskM7sSis0hjH43DfFpSj2ZfZSKgc0pUZGazFAi6GQHvsy2wkstRl5lS7VjurL4i7Vy9SwDE946lZ7QcWWyeOeaVp+5mZO++8k6NHj3Lvvfdy33331V332GOP8Y1vfIObb76ZL37xiwwMDPCJT3yCV7ziFfM+fnF4uKFARrKWhOhcjZbHT7pxX6KN+QNoYEql6bbFJRmz4ey/fVoUZe0ylejjhf4tjKdXo4xlODnIzt5tcYuCaBJtLUYpcm6W/ZmNDCcHSWrJzBGdq+2DmXe/+928+93vnvP6bdu2cfvttzd8/NIj97CwhvQwecGrOPOuHCFEu2ukPH5/2mMtk3QFk4Tai4OLUBFXZmkui8ISz6iUVJIjqbVMuFkSRGgFjpckcpPkrEfQ1Y/S8YgcBY6G4eQgw4lVDIQ5EqZMWScYd3uwlefbm3QXveu4EEul7YOZZvMIFnR7A6y5/PLmDEYIsaQWWh5fKcWGrIO2hrLycAmr19DsBSddOX5ZJ3msbzvDyXhzsucoko7muvP7AWq9hBJYHBXXQ1GVjCSrFKNeb6VkXnw+A0i5msvW9MjyiehYKz6YCfBw5hnQyPKSEKK/N0vJdYmsJbLNm4+Z3hQy/ne8LLS759JaIJN04s2o0zs4z9ZZfFVXgvOySZ4fLzJRCmqVfbWC3qTH9nW90jBRdLQVH8ykrr0JHrnzrLf7FwZ5842NdGoSQiwnqmcQN9tHV36UyEuBcVAmmtGR+lzmOCww4WRxbUTK+BSdFI/1vpRiVz+hhR7P5aVrs6Q9d0ZmzZk6i1+yOsNoocxIIf4FblWXJxtaxbKw4oOZ9OAgedQZNwGHKC5a3TklzIUQzVPNhrK7H8QJS5BIYv1inNZdUf2vRkOEkkriKItnI3wnya7eK/C7B7FYUo7imvV9Z5xJmauzuFKKVd1JVnXLLIxYXmTrOpB9w/uYq/RViKLrxt9c4hEJIdqZs2o97uU3oLNxqYi4v1NcI9ZWWgRYFGFtp0u9uIrszHNOtQ+SVuDZkJyb5Ym+bUx0rQYF/SmP687vlyUhIU6z4mdmqrJveB/F4WFKj9yDR0CAR+ram8gODrZNrxAhRPs4PRvKOB7P7N3LurXrmCoWsU6CbDZLenAIXjxINP4iNgw4qbK86PQRdQ+wOVEgkz+C75cpdw+i12ygJ8ozOTlFoBN096zipUpRjmxHFJgTolUkmJkmPThI+g1zp4ELIcR0ddlQUYTvHaH3/IsZOL3C6/lbcM+Pm+JeUPlzykuon2dJ09fXpAELsUzJMpMQQgghOtqKmpkxJq6qUCwurGJndZmpUCgsu54a8tw6U7OeWyqVQuvW/o7T6Oe01Zbzz1sj5PWot9ivRzt8VtuJstO34C9zIyMjPPfcc60ehhBt69JLL21Kp+qFkM+pEGfXDp/VdrKigpkwDJmYmCCZTEpEK8Qs2uG3PfmcCnF27fBZbScrKpgRQgghxEyXXHIJAPfeey8bNmyou+6b3/wmn/3sZ/mt3/otPvShD9Uuf+c738knP/lJ/v3f/52/+qu/IpWa2enwH//xH7ngggtmXL7YJKwTQgghBP39/dx1110zLr/zzjvJZDJ1l504cYKTJ09yeaVX4bXXXstjjz02489SBDIgwYwQQgghgJtuuom77767tgkf4IknnqBcLnPZZZfV3fb+++/nF3/xF5d6iHOSYEYIIYQQvPa1ryUIAn7yk5/ULrvjjjt429veNuO2999/P6973euWcnhnJMGMEEIIIXBdl5tuuqm21FQqlfje977Hm9/85rrbjY+Pc/DgQa6++uraZY8++ijXXntt3Z/vfve7Szf2JXskIYQQQrS1t7zlLbzjHe9gcnKSf/3Xf+Xqq69m9erVdbf5t3/7N17zmtfUZVNdc8013HbbbUs93BqZmRFCCCEEAFu3bmXDhg3ce++93HnnnXMuMd14440tGN3cZGZGCCGEEDVvectb+Na3vkUul+M1r3lN3XVTU1Ps2rWL66+/vkWjm53MzAghhBCi5o1vfCPPP/88b3rTm3Dd+jmPBx54gOuvvx7P81o0utlJ0TwhhBBCdDSZmRFCCCFER5NgRgghhBAdTYIZIYQQQnQ0CWaEEEII0dEkmBFCCCFER5NgRgghhBAdbUUFM8YYCoVCXUdQIUR7kc+pEGKhVlQwUyqV2LNnD6VSaUH3M8bwxBNPLMuTqzy3zrScn1ujn9NWW87vSSPk9agnr0dzrahgplHWWoIgYDnWF5Tn1pmW83PrVPKe1JPXo568Hs0lwYwQQgghOpoEM0IIIcQKZa1ltFDmWK7EaKHc9JmjSy65hEsuuYSDBw/OuO6b3/wml1xyCV/60pcWfFwJZoQQQogV6Hje54GDI/zouVEePjzGj54b5YGDIxzP+0193P7+fu66664Zl995551kMpmGjinBTAdY6shZCCHE0mnFOf543mfHC2OMFQNcrUi5GlcrxkoBO14Ya2pAc9NNN3H33XfXbYZ+4oknKJfLXHbZZQ0d0z37TUQrHc/77DmRJ+eHGGvRStGTdLl0KMuabLLVwxNCCHEOWnGOt9ay50SeILKkPY1SCgBHQVppiqFhz4k8Q5lE7brF9NrXvpZ/+qd/4ic/+QmvfvWrAbjjjjt429vexg9/+MOGjikzM22slZGzEEKI5mrVOX6sGJDzQ5KunhGsKKVIOJqcHzJWDJry+K7rctNNN9WWmkqlEt/73vd485vf3PAxJZhpU6dHzo5WKKVwtCLtagITXy9LTkII0XlaeY73Q1OZBZr9ekeBsRY/bF5NnLe85S3867/+K5OTk9x3331cffXVrF69uuHjSTDTplodOQshhGieVp7jk65GK4WZI06KLGilSLrNCxG2bt3Khg0buPfee7nzzjt529vedk7Hkz0zbepU5Dx76OwoCJocOQshhGiOVp7j+9MePUmXsVJAWtUHU9ZaypGhP+XRn/YW/bGne8tb3sK3vvUtcrkcr3nNa87pWDIz06baIXIWQgjRHK08xyuluHQoi6cVxdAQGou1ltBYiqHB0/H1zdj8O90b3/hGnn/+ed70pjfhuuc2tyIzM22qXSJnIYQQi6/V5/g12STXnd9fy6QKKrNE/SmvqZlUzzzzTO2/+/v7efLJJ+uuv+222xo6rgQzbaoaOe94YYxiaEg4GkfF0Xo5WrrIWQghxOJrh3P8mmySoUyCsWKAHxqSrqY/7XXk94oEM22sVZGzEEKI5muHc7xSioGuRNMfp9laEsw8/fTTfO5zn2P37t14nserXvUqPvrRjzIwMDDjtg888AB/9md/xuHDh1m7di0f+chH+Pmf//na9V/72te47bbbyOVybNu2jU996lNs2LBhKZ9OUy2nyFkIIUQ9OccvjiXfPVoqlXjve9/LVVddxY9+9CP+6Z/+ifHxcT72sY/NuO1zzz3Hhz70IX7nd36HRx55hA996EP87u/+LsePHwfgrrvu4rbbbuPWW2/l4Ycf5vLLL+e3f/u3l13tlWrkvLYnxUBXcyoyCiGEaA05x5+7JQ9mjh49ytatW/ngBz9IIpGgv7+fd7zjHezYsWPGbe+66y6uvfZafumXfgnXdfnlX/5lrrvuOv7+7/8egO9+97v86q/+Kps3byaZTPLhD3+Yo0eP8vDDDy/10xJCCCFEiyz5MtOGDRv4+te/XnfZ9773PS6//PIZt92/fz9btmypu2zTpk08/fTTtevf97731a7zPI+LLrqIp59+mle84hVzjiGKIqIomveYq7ddyH06hTy3ztSM5+Y4zqIdazEs9HPaasv5560R8nrUW8zXo90+q+2gpRuArbV84Qtf4Ac/+AHf/va3Z1w/NTVFOp2uuyyVSlEoFOZ1/Vz27t3b0Hh37drV0P06gTy3zrSYz+2aa65ZtGMthkY/p622nH/eGiGvR73FeD3a7bPaDloWzExOTvJHf/RH7N69m29/+9tccsklM26TTqcplUp1l5VKJbq7u+d1/Vy2bNlCV1fXvMcaRRG7du1i27Ztyy4ilufWmZbzc6ta6Oe01VbCe7IQ8nrUk9ejuVoSzBw6dIj3ve99rFu3jjvuuGPWLCaIT2a7d++uu2z//v1cccUVAGzevJl9+/bVspuCIOC5556bsTR1OsdxGvphavR+nUCeW2eS59Z+OnXczSKvRz15PZpjyTcAT0xM8Ou//utcffXV3HrrrXMGMgBvetOb+NnPfsa//Mu/EIYh//Iv/8LPfvYzfuVXfgWAt771rXz729/m6aefxvd9/vzP/5zBwUGuvfbapXo6QgghRMey1mImThKdPIyZONn0bOBf+IVfYNu2bVx11VV1f37zN3/znI675DMzd955J0ePHuXee+/lvvvuq7vuscce46qrruJTn/oUb3rTm9i4cSNf+cpX+LM/+zM+/vGPs379er70pS9x8cUXA/C2t72NfD7PBz/4QUZHR9m2bRtf/epX8Twp8S+EEEKcSTRyhOjgTszUOBgDWqO7+3A2bMdZtb5pj/upT32Kt7zlLYt6zCUPZt797nfz7ne/e87rH3vssbp/33DDDdxwww2z3lYpxW/+5m+ec0QnhBBCrCTRyBHC3Q9iwwC8JHgOmAiTH8XufhAuv6GpAc1ik5bLQgghxApirSU6uDMOZJJdKMdFKYVyXEh2YcMgvr6DCtBKbyYhhBBiBbG54XhpyUvOqDaslMJ6SczUODY3jOpdveiP/6lPfYrPfOYzdZf98Ic/PKfsRQlmhBBCiBXElkvxHhlvjqwq7UDgx7drgv/5P//nou+ZkWUmIYQQYgVRiRRoDWaOasQmAq3j23UICWaEEEKIFUT1DKK7++LZl9P2xVhrIfDR3X2onsHWDLABEswsgLWW0UKZY7kSo4VyR22OEkII0Zjldu5XSuFs2I5yPfAL2CjEWouNQvALKNeLr++g7t2yZ2aeCirBg8+NkS9HGGvRStGTdLl0KMuabLLVwxNCCNEEx/M+e07kyfnhsjr3O6vWw+U3nKozE/hxnZnsQFPrzPz7v/97U44rwcw8nJj0OaF70KWQpKvRSmEsjJUCdrwwxnXn93f0D7UQQoiZjud9drwwRhDZZXnud1atRw+sw+aGseUSKpFC9Qx21IxMlQQzZ2Gt5emTUxgU3a5C6fhNdhSklaYYGvacyDOUSXTkD4AQQoiZrLXsOZEniCxpT9fO78vt3K+Uakr69VKTPTNnMVYMyJVDNGbWfPyEo8n5IWPFoEUjFEIIsdjGigE5P56Nl3N/+5Ng5iz80GAtzBV3OwqMtfihWdJxCSGEaB4/NJU9MrNfL+f+9iLBzFnEUTnMtXc9sqCVIunKSymEEMvF9D0ys5Fzf3uRd+Es+tMePQkXg541H78cGXqSLv1p6dQthBDLRX/aoyfp4kdGzv0dQIKZs1BKsXV1NxpLMbSExmJt/HcxNHhacelQtqM3gAkhhKinVHxu97SiGBo597c5CWbmYSiTZMjk6Eu5RMZSCg2RsfSnvI5PzRNCCDG7Ndkk153fT3/Kk3N/m5PU7HnqsmVeelE/ubLBDw1JV9Of9iQqF0KIZWxNNslQJsFYMZBzfxuTYGYBlFIMdCVaPQwhhBBLSM797U+WmYQQQgjR0SSYEUIIIURHk2BGCCGEEB1NghkhhBBCdDQJZoQQQgjR0SSYEUIIIURHk9TsNmOtlXoGQgixiOS8uvxJMNNGjud99pzIk/PDSrdWRU/S5dKhrFSaFEKIBsh5dWVoeTAzOjrKO97xDj796U/z8pe/fMb1733ve3n00UfrLisUCrzjHe/g//v//j+MMVxzzTVYa+si7R//+Md0dXU1ffyL5XjeZ8cLYwSRrevWOlYK2PHCmJTOFkKIBZLz6srR0mDm0Ucf5aMf/SiHDh2a8zZf//rX6/59xx138OUvf5nf+q3fAmD//v0EQcB//ud/kkh0ZoVGay17TuQJIkva07WgzFGQVppiaNhzIs9QJiFTo0IIMQ9yXl1ZWrYB+K677uL3f//3+b3f+7153+fgwYP88R//MX/2Z3/G0NAQALt27eKSSy7p2EAGYKwYkPNDkq6e8aFSSpFwNDk/ZKwYtGiEQgjRWeS8urK0bGbm1a9+NTfddBOu6847oPnUpz7Fm9/8Zq699traZbt27cL3fd761rdy5MgRNm7cyIc//GGuvvrqOY8TRRFRFM17rNXbLuQ+C1EsV9ZyAezM6x0sgbUUyyFR0lnUx272c2sleW4L4ziL+7N1rhb6OW215fzz1ohWvx6tPK/OZjFfj3b7rLYDZa2d5W1eWpdccgl/93d/N+uemapHHnmE9773vdx///2sXr26dvlnP/tZcrkcv/M7v0Nvby/f+c53+PKXv8w//uM/csEFF9Qdo1AosGfPnqY9j0aVcDnm9KGws06VGcCiWBuNkyJc6uGJFeKaa65p9RCA9v2cis6ynM+r7fJZbSct3wA8X3//93/Pf/kv/6UukAH46Ec/Wvfv97znPdx555088MAD/Nqv/dqsx9qyZcuCNgdHUcSuXbvYtm1bUyJiay0PPjfGeCkk7aq6KVFrLcXQ0pdyeflF6xd9bbfZz62V5Ll1toV+TlttJbwnC9Hq16OV59XZtPr1WO46IpgJw5B/+7d/4ytf+cqM6z7/+c/z+te/nssuu6x2WblcJpmce4e64zgN/TAt5H4LrWtw2ZoedrwwRjGyJByFoyCyUI4snqO4bE0Prtu8t6vR16QTyHPrTJ363Dp13M3S7NfjTOfaVp9XZyM/H83REcHMM888g+/7s+6D2bt3L4888ghf+MIX6O3t5W/+5m+YnJzkxhtvbMFIY43UNViTTXLd+f21+wWV+/WnPKmHIIQQszjbuVbOqytHWwYzV111FZ/61Kd405veBMDhw4fp7e2ddbbllltu4XOf+xy/8iu/QrFYZNu2bXzzm9+kr69viUcdO5e6BmuySYYyCalUKYQQZzHfc62cV1eGtghmnnnmmbp/P/bYY3X/fsMb3sAb3vCGWe/b19fHLbfc0rSxLcRi1DVQSjHQ1blp5kII0WwLPdfKeXX5k0aTi0jqGgghRPPJuVacri1mZpYLPzS1ddvZOAoCa/FDsyiPZ63F5oax5RIqkUL1DMrUqRBi2aqe86LxHBm/TDndD8w85y32uVa0PwlmFlHSUfQGE6TLAZGbZDLRC9OCi8iCVoqke+4TYtHIEaKDOzFT42AMaI3u7sPZsB1n1fpzPn6zSRdbIcRCRCNHCA48hsmP0hVFXI1mysvywsAljKfrS3Ys5rlWdAYJZhZJNHKE7oM7uXpiFGsMKE0hkeFw3xbG06ux1lKODP0pj/60d86PFe5+EBsG4CXBc8BEmPwodveDcPkNbR3QSBdbIcRCRCNHKO38d1RQAuK5mATg+SN0HX+UvWuuqQU0i3muFZ1DwtZFUAsu8qM4XoKykyRQDt1+js0nd5KdOkExNHhacelQ9pxmIKy1RAd3xoFMsgvluPEGN8eFZBc2DOLrW1/YeVbVDISxYoCrFSlX42pVy0A4nvdbPUQhRBux1lJ86qeooAhYLAqLwqBQWJKmxEXDu7DGEBq7aOda0VkkmDlHpwcXnufRlfBQjkvJSaJNyEvG99GfdBel3bzNDcdLS15y1o1veEnM1Dg2N3xOj9MMp2cgODrOMnC0Iu1qAhNf366BmBBi6UXjJ1BT4wBxYwKloJKhVG1UkAkm8aZGiIylP+UtyrlWdBZZZjpHswUXnqPwHJfQWGykGDAFbhi0OIvw4bLlUrxHxpujgqR2IPCx5VLb7UtZSAaCpFEKIay1jBw7QhaDRdXtQQRAKaxVKAyXJkukLhpo+XlOtIYEM+foTMGFqxVWuVDyseMniAK/oayj6UFJyjiktQYTgTPL22ci0JrR0GH3wZG22pey1NlejWi3AFCIlerYeIH9zx9mcOIkWeIFJpgtdymW9Bz5JWgFk2DmHKlECs4UXAQliMqEByuFABeYdTRjsyyKl+lueso5dKp7RvM0yiWCZIZ9R08SqQRuuh/t6HlXIW6m6VU6nVnOSK3OQJCNyUK0h6eeepq+o0+wLZpCW4sCHMBYg1W6LqBRWCwa3TvUotGKdiB7Zs6R6hlEd/fFSzun7fWwQRlKBbDEWUfJLnA8TH6UcPeDRCNHznjsWTfLOppnujdSsg6mNIWNwrj2QhRCMQ9RgC3muWxkJ9eMPML2Ez+lvzTcFvtS+tMePUkXPzIzX6tKBkJP0m1JBoJsTBaiPRzZ9TNecuhH9IXjJGyIQ0T1bKGxKFs5f1iLshEAxWQPvUPntW7QouUkmDlHSimcDdtRrgd+4VRwEQZQmgQspDILzjo602bZYmaIXf1XkvN6IArAL0C5BCbCKgdfeZSdJJFy6S7HGVV9xZMtr4ypVJxh4GlFMYwzD6y1Lc9AkI3JQrSH4ORheo88gYPBVDKW7GkLSxqLrlxrUZSdFGx6GVrL19lKJu/+InBWrce9/AZ0duBUcBH68Wa1VAbl1a/jzifr6GybZSe7h/jZqpdTvPTnca94DaorC26CKJnBKAelFEY7lHUKx4ZcML4XrMVRYFq4L6XaxbY/5REZSyk0Lc9AkNLoQrSetZbi0z9DY4hQoE5lLhk0Fmp/IlzKOkk+PUi49ecYvOCi1g5etJzsmVkkzqr16IF1tfYCtjBBeOCxeHlpNtOyjmYzr82yQCk9QK/NE/qFUxlVKv7AKwClCFWCrvIkmfIE415vyytjtlsX207YmCzEcmdzw+jSZOVfM7OWjNUoLBEOBzIbWH3hBtatP19mZAQgwcyiUkqheuMqlGbiLBuDK1lHKpGqu7iaTZP3QwAiY3Fn2S07fbOsnTqVUeUqhaMUkbEoFYc0Rmlca3BDn7Juj8qY7dTFtt03JguxnFXPedF4jq5aztLsFGCUYjK7lu3nXyCZhqJGgpkmqW4MNvlRrHZmZh0FPjo7gOoZrF1+ejZNOTL4IXR5loTr1N1/erluG9QHTinXoRCEGAtKWRwbYdBM4kplzFlUNyaPlQLSSs94r6Q0uhDNMf2cl/HLXIXGxYn3zFhOqysTLzIVnG42XSiBjKgnv2o2yZwbg6MQ/ALK9eLrKx/I2bJpkk68TjwVGArlCDNHue7TM6o8R9HluThaYa3FMQFTbgYnOyiVMWfRrhuThVjOque80WI53i+T7KPgZbFKYalmLlWzlgwOFoNmfN2VrO3ravXwRZuRYKaJZt0YHAXo7ADutGaQs2XTRAYCc2rC1Y8MOT+iHJoZm2VnC5xcDRkXspTxEgkyW67mNRsHJZCZQztuTBZiubLWsvPYBIVyRBDFn7ep0LA3s5HQSRIphwgNmErmkiVCM7H+Si67bGurhy/akCwzLYC1ltFCeUGbVk/fGDxbBeDTs2nCyDIVhFgLWgE2nmB1dPxn61CGNdlkfbXa9Gp6L3s10bOPx+0VAh+0xu1ZhbNhO92L2EW70Sq57V5dt902JguxHEVRxI+eG61lB+o4ZwELnPBWsbP3CrZMHqQ7zJPAiZOwUxnSW1/G+tUXtHTson1JMDNPBZXgwefGyJejBVeHnb4xeDanZ9MUw+hUIFOpbwmQdDShhadPTIKFp09OnlatNsWll/wiq21+zsDpXDVaJbdTquu208ZkIZabHYfHODBaqLusOgGtVfznZGKQkYFVrDJ5tg0kWNXXs+jnMbH8NLTMdODAASYn4xS6nTt3cuDAgUUdVLs5MelzQvcwXgqbUh12ejZNZCzG2sq+t2kfXgVaaxKOZqwY8PDhOarVHhnnpO7BWX0Bunf1ogcyjVTJleq6QojZApnpTGUGWikwKHKJvqacx8TytOBg5t577+XNb34zzz33HACPPfYYb3/723nggQcWe2xtwVrL0yenMCjSrmpKddjpZf4jY7D2VBhjbTwv4yiFoyo1TyobgRdSrba6RHYsV2K0UJ73eK21mImTRCcPcejQIYLQLPhxpbquECtbGIYcGJmiN5hgyD9JbzABs3zmTaUqngXSriMZhGLeFrzM9OUvf5m/+qu/4oorrgDg3e9+N5s2beJP//RPec1rXrPoA2y1sWJArhzGm9DOUh12PssTs+0bAbi8q8y+iWEKuBR0DwZVW2BSClKV/TTlMA52EvOoVlsdz5mWeAa75v4RiEaOEB3ciZkax0SGTQbWeRle6N/CePrUstmZXoeFVNeV5R0hlp/jeZ/9+/fzcxNP0x0VwFoi5TDpZtib2chwcrDu9ob4l7kNq7pkRkbM24KDmWPHjnHDDTfUXfbqV7+a3/u931u0QbUTP6yfKTndQqrDzhZUnB+NsnnyAFk/x/bIEFiY0N3szWxkJDmIU1mW8Rwd1zwxBgXMVb/t9PFUl3iCyNYtZ1WXeK5Z1zPrcaKRI4S7H4x7THlJjNaE5TKZIO71tG/19rqAZq7XQarrCrFyjaku7FOPcHVuL5r4M24BbQ19wTjbJ3axs3dbXUCjgL6Ux6ZV3a0ZtOhIC15mWr9+PQ8++GDdZT/96U9Zt27dog2qncQzCsxZlXK+1WFn2zey2h/mwuOPYfKjBDgYL43rJRgwk1yVe5I1wUhtf8n0mieeo2c0X5ttPPNZ4nn65NSM52atjZtghgEku+ImmTru9eTrZF2vp7O9DtMDqHN5/U7X6LKZEGJpHM+XoFxia27vtMaRcZtIB4NjIxKmzJbJA3XnkpSr2L6uV2ZlxIIseGbm/e9/Px/84Ad53etex/r16zl69Cj3338/n/vc55oxvpbrT3v0JFyGywHW2jNWh7XWzpqCfXpQoZQCa7kwtw/XhBR1EiKFiiJQ4OgkKeOztXCQn6VXUzLxzEZ/ymPrUIanT0zOq1rtvJZ4yiGJ034MbG44Tu+u9noCXF1pk2AhVF6t19Nksu+MVXKbUV23UzKjhFipjDE8c/B5rsw/Vd84snq9PVUULxNO0hvmmPB68bTi5S8ZkM+xWLAFBzM33XQTQ0ND/MM//AO7d+9m7dq1fOMb3+Dqq69uxvhaTinF1tXd/GSyQDG0JNy483RkoRydqg5rRo/W9pdgDGiN7u7D2bCd8dQg46UAraj1/8mUJ0iXJ/G1h1UKxanK3ZGFEi7ZcJIbBi2l9EBdzROFYscLYxSDiFVRnqQp4+sEI04Wz9G1arXzW+KBSNXPitjyqV5P01XbJIRW4xLghj6hZ+teh9mCpkuHsvF4Q0PC0bO+fvP9Lexsy2ZS4E6I1opGjjD21A6umholSdxjThNX1bbVz7lScfkJIhyrSZoyjoJXXTjAednUGY4uxOwaqjPz8pe/nJe//OV1l4VhiOsu/HCjo6O84x3v4NOf/vSMY1a9973v5eGHH647/l/+5V/ycz/3cwB87Wtf47bbbiOXy7Ft2zY+9alPsWHDhgWPZS5DmSRDJkeYOo98OSKwp2ZKLh3KMlgerttfgueAieLlo10/ZH/flZRUHxBX8tVKkQ1KKGswyqtbMFIolLJEVhNFAT06pL+n/sO9JpvkFZkS4bM7Sfp5lDVYpfGTWdyLtzNY+TKfTwNFpcCx9ftVVGL2Jpmeo+jCpVwuY6xmCrdWJfdMsyLV6rrV2ZTTX7/5Bh+zznARP7e00hRDw54TeYYyiTmDo3Yv3CdEJ4tGjlDa+e+kgxJq2gK2AhQGY3UtoIlbFgBKobwkP3exVCgXjVtw9HHo0CG+8pWvcPz4cYyJvwSDIODZZ5/loYceWtCxHn30UT760Y9y6NChM97uySef5NZbb+VlL3vZjOvuuusubrvtNm699VZe8pKX8PnPf57f/u3f5p577lnUL6kuW+alF/WTK5sZmUjlR3YSBWWMF+++d5UCxyWwmqg0xbqxZ3iu/2W18UTGkjMuBoXGYHBOezSFQ0SEJmdc+k+7Nho5QvbZh7BhQOB5RGhcDOkwj3r2IaIuD2fV+nkt8fQlXZLFsP7Rz9Ak09XgqpAo28+lGy4i6TnzCggWo7ru6ctm1Zo8urIP6GyZUbI8JUTzWGvJ7/oJiaAIxLVinNN25GkMkdVxAFPZ+ed09fCal16C1tJdRzRuwT89H//4xzly5AjZbJYwDNmyZQv79u3j137t1xZ0nLvuuovf//3fP2sW1OHDh5mYmOCyyy6b9frvfve7/Oqv/iqbN28mmUzy4Q9/mKNHj/Lwww8vaDzzUa0Ou7YnxUBX/Nv/8IvHKE2MMmVdpoKIyXJI3g/jfiORoaw9/v/t/XmcJFWZ74+/z4mIXGqvrqpeaLrptRoauqmmGxpkk01EFvEHigpcHUVxQBReMsIV5zvXcbgObjiggws4KqJXh3FBRBQdBUawm62hWHqn6X2pPbMyMzIizvn9EZlZWVVZ3VXVtXad94uiqzIjIk9ERmR88jnP83kq/W6mBV3hZZ1z9u20q0jaFUSUV0h+K9zWtcbRHt12OZlYbymTT84NvCxJIqSUwA00KSVIEiHwsmHybm6bs6tjSCDlBSUbKB7bUN4vlXgwTTJji1cwqzpeOA59xzgaybn5aTOlNAnXJ5n16c72HHOdEzelKqOMcZ/BMLo8/+pGnEwnEHZUoldspgeBBh2mAiMt4seeYoSM4bAZcmTm1Vdf5S9/+Qu7d+/mG9/4Bp///Oc566yz+M53vsMnP/nJQW/njDPO4NJLL8W27YMKmubmZsrLy7nllltobm6mvr6eD3/4w1x55ZUAbN68mY997GOF5R3HYd68eaxfv55TTz215DaDICAIgkGPNb9s33X2J13e3NPCUqXQloPMVT0FStOdDaMdQkiE9ijHo12AUpoar4uIyrIrNpOy7hQx5eJLB41E6gBbewTC5s2qRRyfbsPL+OHUT2UdJFrxEu2ktU1AOE2Ur7YKNKS0TTzRTsfunbyWjtGV9fGVJtAaPxs6GFtSUBO1ObahnLq4ze4S+0bNTORxp6PefBmd6iz0ehIVtcj5J0LNzJLHcH/SDdstdLfi+Fk8OwLldcyojLIvmaUrG/acEgKqIuEYplcMLiriyFAodefEisjZnxeOuQqIWAJH9n6Pfd/n9X1d4fSULQq5SZaAuCVI+5rX93VRF6+dNFNOA52Th4Nl9Y0Qji9DvU7Hm9F4TyYLj722mxNaXs9FmgEUCAutRT9Jk4/IKCFxFq6E2llT4piN5Pkx0a7VicCQxUw8Hqe6uhrbttm4cSMAZ511FrfddtuQttPQMHCvomKy2SxNTU3ccsstLF68mDVr1nDTTTdRXl7ORRddRHd3N/F4vNc6sViMVGpg2+z8uIdKc3Nz4XcN7Ja1xILw0hQqQAmr1/MasHSA0oK0EtSn97Oo+00q/CQSjULgygiesImpLAKFRtJll7Mv0sD8zo3YrQkyucS5rBUjGamk1vfxRTQ01dO9y8Z9LfB8nzd27qcl2pDrOEuh/2ygoFolqUyn2d0Ju3PrvdLcjItNICSWVkTxw4iNnEksVoWlfQJhk5FlsH1/+NOHlIgQeB4Lu9+kwu/OfbBJknY5G8sX0hqtww7rGtBAS9bjmWSK6aqLMp095PFXgGc1oJHkbULz+56PbXl+wJsbXuOtovWef3U9rVYNAk2fGbXCdluTWda8vJsYJRaYwBSfk4fLypUrR2xbI8Fwr9PxZiTfk8lARWI352b2hpEWesL9SgfonLtMXsAABEgSdiUdZQ2kOwJYt24cRj1+jMT5MdGu1YnAkMXM3LlzefLJJzn77LNRSrFjxw4ikQi+Pzo3gcsvv5zLL7+88PcZZ5zB5Zdfzu9+9zsuuugi4vE4mUym1zqZTIby8oENlxobGykrKxv0GIIgoLm5mWXLlhUUcXvaY9f2dvxonHR3JeVeF1lhFUqSFIDSRLVPd6SKmIQlHa9ha5+sjBAgkSjiysVHsrVqMX60HFdE0H6WZR3NxAiQsXKQYUJxxHcp8zrwAFtodHFoVmukVkjtowHPjlEZi/TLk0n7GhlroGleGIUIgoA1r27Aq5xBwguGHTXRWvPy6xuZ1/oyVm4fFRKBospP0tT1KuuqTkDbEcqFj7ajJJwq0gH4sZmcOO/QUZH2tMeObW14gSZMle6PbdnMX3Q8tXGn8L7Nnb+QA3sSxCxR8jW01mQCzbx5i5k5SXJnSp2TRxpDvU7Hm6nwnvRl95o/Up/ZU/K58AuUQgsLnZtW0gherl7GtHlLWDK9cmwHO85MxfNjLBmWz8ynPvUpHn30Ua666ire//73Y1kW55133miMj4cffrgQhcmTzWaJRsObzuLFi9m0aRPnnHMOECYjb9u2jcbGxgG3aVnWsE6m4vU85YWlhbZkR20jiw+sI6JcfBFBCYmtAyzl4QuLt6oWMrdzM7b2ychYLvkNNBZZSxIJXBpSe3ihfDWWEJzW/ldi2kNG44h8BZe00ZYFmW6E1jgqS1bEQQgs5REJXKQOEGgUkmO7NrDLXtK/7YCtSWQDurKKaWWRQhNNkfFxLAkiFArtGY8XdncNutS5rdtleut6rKJ91Ll9TEtJeZDm5I6XCIQVfqgJSTpSwbaqxbTI+sJ4DoanPKQQlDlhnlCQD0uJsHdV1Ap9cDzVOwwbj9hhVRehV05fglweUzxiT7oPmeGey5OBybpvk3XcQ2XnS89Q3/XWQZeRhBGa/FXXZVdSt+A4jptR2nl8KjBVzo+xZshi5tRTT+UPf/gDdXV13HDDDcybN49kMtkrejKSJJNJvv71r3PMMcdw7LHH8tRTT/Hoo4/ywAMPAHDFFVdw7733ctZZZzF//nzuvvtu6uvrWbVq1aiMJ09x2XNHvIFNDU3Mad9AeTYRliAiSdgVbKtuJINFuZckKyM9ZjLk8l2Q+NKhMujmFLmPmvZtWG4HoCHth9VE0XiYU6NBWxF0kEEJSURlUFoSUS6iMFMtyMgolV7ikG0H8k00AwRSa1J+UCQOwoTbQ5U65/E6DvTax+KpL1sHWNpHoPGlTUZEkCjKs10c2/oyr9Yux/VrBn3MLSmosEIRUjAyzCU2A0QsUSjB7hYRtNZURi06Mv6IGff1xZR8G6YS7c//kbqWrYNaNvziJsjKCNbiU6a0kDGMHkMWM5dccgmPPPJIwfPlXe9614gPasWKFXzhC1/gsssu40Mf+hCpVIpPfvKTtLa2MmfOHO66666CWLnyyitJJBLceOONtLW1sWzZMr7zne/gOKPbbbVv2XOICP/L3clDA7sKtraEOTJBUfGYICxiCtBIEQqSmr2vYekgV9YUli9q5aPSSTJWHF/YoCGK4M2yY5iRbaXGbUOi0IASNhkrii9sAjRR5TKnYyMdsfqCiCpuH9Ce9mjPeKHFeHH/KR0uB+ENejBNIAM3TTQXFeqF1sRUj+eEJsxYVli4QhINXBZ0bSZqDRxJy1MTs4k5koTrE7MktiXxA0h7AYEKm3JKAc/v7AAhyPgBWVlN+44OYpaFhBEx7uuLKfk2TCVee/YpFnQOTshAmKvXFpmGf/QJLDhm5Py/DIZihmWal06nqaioGLFBbNiwodffL730UuF3IQQ33HADN9xwQ8l1hRB85CMf4SMf+ciIjWew5DtdR5LdLEhsxVI+nnTCJFoUVX4C6801LJm1FNUicqKjRHhRBVgqQEgBkThhlmp4+1cIhNZEA5fAtiHX42RftIF9kXpO855HCUEgbHx6og4Kgden7YAfKDKBojJqUxOz2Ztw8YOesvBeN3MdigMvUBxIumS8gGygiNiSmN3fW8aKxVFC5JKYe/bRQiG1KqT/6WK3YSHC0vUgSYXXCUwf8FjnBUO3G+AHmkQQIAkoLsKWAhwpaM+E+VtxO3wfHCFI+WGou8yxcH01bOO+UuMyjsSGqcIzz7/MiZ3rh7TOW/GjOXDUCt6+eMYojcpgGIaYWb16Ne9973s566yzmD69981nKKXZk5mgdRfB1nVUdnfQ5AdoPwtoMlacQFpYQhCzHaSMot0Usfbt7LfKqfSTZKTsNdWE1kRVWMkjI/HQcVdaEPgoLQpumVIHCOXjaJ8uu5JOu4rp2RYAXBEp5OHIcMYlrPxBYmsPkc3Qpb3Q8RfodgOeerMt7CcVDqJkGwKtNQpo3tuFyqenCLCFoDJqM7s6zszKKLVxB6e6gW67gkov0WsfhVZ5GVMQXHmUDqfZHBGEpd8D0Fcw2BIyvspFj8J9smSYM+MGOhf10pRl2on5KaSsJBGpJh1oIlKw6phasrltHc500Eg4EhsMk4UXXnqZZS3PD8mcTCHYXL2UdxshYxhlhixmdu7cyZw5c3jzzTd58803C49PlQ/roHVXr9YFUtoQuOHNU2XQERuraIpLO1GC7k72ls0nnthKTLlkpYPKVTNFlIcSkgBAWNhCoKNxdDqJKNRdh6m0UeWSlRE2Vy5CSpGrGOqJ+IQtC0QuFyc0plIIOrVNkGtpELMllpS0ZzzauzPMTu+mzE+RscvYFTsKZNhtO19aDuAXTUEpDVmtaU17tKU9NhwIBcGxDRXsrz+W+N4XC/sYIMmnAetcLg99zhOJQglBqyexU9l+4qKUYLByrsTJbOjXIAVURCwCDYHv0+C2sCi5hYogidQKuixS+WRjETb/nFV1+NGSQTXyPIgjscEwWdj+4jMcu//VIbusvhWbzcUnHDUqYzIYihm0mPnsZz/Ll7/8ZW644QZOO+200RzThEVrjdq6LhQy0bB1QRiVCc3xQEM2jSftws3NDwR4PonyMtZVL6MxuaXHZ0YIEk4lB8pmsqBzE5aXQRMBy0FFK1Bud6++SUm7gvVVS2iN1iPQBRfhKj+MhuQbVkKYtxNRHp12Jd1OFRURC1v2lCYv7tzK3I6NYeQmHDnHi9fYVLGQzRULS+5/frnC8QB8pWhPe6zZ0Y5lTaOjehmLc/sYQaM0eMIJk3+LfHgk5KqyPNpkJS+0gtXR1i/X5KCCoWgcKpcMXJ9pYXlnc6EEXiFwhB5ysvFgGFwjz9KOxAbDZGHbX3/PjMTBq5ZKrhc7mtaqOVPmi65hfBm0mHniiSfwPI8bb7yRF198cTTHNHFJtIZdsZ1ozwUqemy7FQIR+KTdLEHuxi11gJ0zx+t0qmmJ1FHtdxFVWYQTI47HnM7NOMpDZl3wMmhpEdgx0lY5UgdElUvairG+fBGucAhU2KwSIdhUsZATO5uJKRcPBy0kUisc7RFIm40VC4k4Vlh2nePojk3Mb389V8YtcqZWENEeSxMb0MCWPoKmOFKTRxCKCCnCxFoBZOMNPFO0j66M4ARZmrpeJV4UsZEonFzp+qaKhTi2hQBa01me3d7GCTOqWFhXNqBgEKIn2VprUDqcXlqc3NKrBB40Skqy2iISZAadbDwYBtPIM59sbTBMRjY8+Rhz0zuHvN76ikZmLjuF1OY3RmFUBkN/Bi1mFi5cyNvf/nbS6fSAnjJ/+tOfRmxgExHlpsH3QYRelwESrSVShB2mc1XNuS7WFmhNRHmFHBcAhKDTqQZgeraVxs5mpPLx7ChRP4PSCgKFFfjYMoqjfaRWRAOXk7qaUQiSdgUbKxbSFqunJVpfMuLTZVeytXIRLU4dFcVCQCnmdGwsCBktZJjsKwSBVlhoGpNb2FI2P+ycfRDy4iadizxoIKt0r30EwIF1omeMkdxrd9mVbKxYSEu0HpENE3TDXB/NC7s62N7RzZyaspKCwcp5y/g5ESOFoCrbQUUQlofno1SFVQSDTjYeLINp5Hm4Jd8Gw3jxzNoXWTEMIfNWbA4nvu0stNYFh3GDYbQZtJi57777ePbZZ/n85z8/ZRJ9iynPdqG2bgc/i/azuVJoiStjIKLESRdKpDUCSwdEcpGHjRUL++WKoDWLEpuRyiNrxYg6NilCAz1L+0g0MeXmXsfCtaKFPJsqP0FTZzPrWEZLNBQ0+YhPTGXJygjtdlUhKbj4lad378JWfkF4oVVhCS0kKhfVme3uYXd8dslGccOhJVpPizON2e4eyv0U3XYZu6KzCoKpb+RHAwe6PbrcBHHbIuUHvQSDyJnk+UoXpr+cIIulNW6uYqp4Gip0NpY4HDzZeCgIEZZ0P7ezfVRKvg2G8eJvL7zMsrbnh7SOAl4vb2RO06lIKadEvyXDxGHQYqahoYHLLruMzs5O3vOe9xx02e9+97t8/OMfP+zBTRRU225mJbaDLVDSAuWHbrJaEQ/SpK04KRmjTKUBgaPDSqTiyENfqv0uKvwwihB1bLxAEQgb5dhIHSBVQCTIEGCRssqK2iSEjrpx5dKY3EJLpK7QbbLTqaazz+toQh+Wily+zPTEjqLGb4WCaUCEkSbCfJbKYODeVodE617TTJ12FfXZ1t7RIwTH2DsHPD75UWV8hS0FtujvEePrMKE5niu37sYOzQTRKBFKy3zDbksKYhKklmHTziHtzsCGeDMqo5x8dG3BZ2akSr4NhvHitTX/w/L210u2CxkIH4s1tSs5at4CZlYO7foyGEaCIVczXXvttYdc5tvf/vYRI2a01qg3X0bqACJVuDpLRKVyfUZAoIgFGXxhkZYxNlUsJG2XFW7i/SIyOaIqm7upSzI5512Rq0ZSws7V/4SOuYUy5/yYcv4sFX6Sar+r95ROCXwN3dmAxak3qc30bxCZ29GCi7CGUEDRP+m3L32fr3db+okWV0aIKReBxs31bOoVYapeVlLQ5Led8gIW15WzP5kl7Qd40EswTK+IhGLDqybibsFKtUM0QqDDPl2xSCyconJTyMppiKrS4qn/IdFsbu1ma2uKtJ+vnOpviDejMkpDucP2jjTd2YDyiMXcmjjyENN0BsNEY8vGDbl8usGjgDU1J1E5cw5LjbuvYZwYlmneodB6pCYnxh/d1YJOdRJIG4kgKyy0HS/0QgKQBKSsSl6vWjJglKEvbq7Sxkbh6zBZuGdaRIdOwFBIJA4f7yEgjEBEVRYpwkTcYsLcHU2V30VMZ/GFzbyOjQf9kMp3vc0Khx3RWeFjQoQ9kEpQSsg05SqJCqJFB1T5CQSabllW6Cw+YISpsLNhdCeSi+5sadFYVjjNFLctFtaVs7CurBAhyZc+B4tXhKXzbgrLjiK1wlIB+C7CdrAWNA1q2mdfwmXd7k46Ml5hSk4KiFpWP0O8Ug7A29rTJjJjmFS8vqeT+m3PDUnIALxevoTKWXNZfUzdqIzLYBgMoyJmjqQcAZ3NgAodbHXO9yWQNmlp54zsFJbyWF+5eNBCBiiUVVcHidyUSI+UUSoUM7ogL/pj5ZyAXRnpJ2QA6vIRkiCJpUPPGUd7uXgPA25ZAxsrFiKkLMRpIlaYexNojSQUNyq/cGHFMHHY1j7pQiVR797WMZ0lqXsiTQwQYSoV3UnaFWyvCY9xV9bj1X2dlEcks6rivY9L3Ww4/kyCretQ3R3Y2oNAEpTVkpp9PFa8gVrd3ySwmH0Jl7U72kh5qjDtRk4wZoKAMtvCU6H/jUbz/M4O4wBsmNS8sa+LYOPfqFRDm17eFZmOmnuCETKGcWdUxMyRhIjEQEpEEBTKgcNv6uF0kBA+5BJ0h7RdIdhes5ilba8QVS6ucFA6nH6JKQ9POqREnLhySWurX9SiX5VUEcURkqyM4AlJNEiHr4tGEwqVUoJmv1PPloqFhcRhpaE6arN8ZhXr9ydpz3hUWKH40lrjBRo3UIUcILdvM82cA7BGIHWAhSIoandQHGHqO/a+U1LHtr5cmJIKlOapN9tYPrOK42ZU9toHq242ctpRBB372bB+I27lDPaKSlQXyER/L5ti8iZ92Zy9sISipGOdEzSKuGPRmfF4ZW+XcQA2TGr2dKVJbl7H8emhecmkibB99mrONULGMAEwk/qHQFTVI8qqsZSPhcYSIpdUqtFaYSuPpF1BVwlRcTA0sNuexss1y0jYVTjaJ6ZcbBW2K1hXvYzXqo7DFxZx5YbTTjqM2MSVG1ZJlS+g2u9iunuAaq8zLNnpEyEJhIUSIsy9ye8TYaQpyP0ownlvDewoPzq3TNh92rEEJ0yvZGZljOOmV+JIQdpTeEH44wdh/KY4B6jXfubK2AtTNbq3gVxxhKnv2JUIRZwSFmkZxdYBjckt5LN6NfDK3i7e2NdFWyrLnq4MbalsYZpzq1fGxvgx7KQC25LEbIktRSFqsi/Rv6opb9LnlDKOybkrq9xxDrSm2w16GfrpXPduX4XnSmcmbNRpMExE9iVcntx8gCWJzUOaXsoi2Tj9JM5dMmvUxmYwDAUTmTkEQgjk/BNRHf8N2TQxK0J3EAqZ4tLrYvfdcL2ctui7waJKH09G2GdPY1/tNKb5XTh9yqqBXh4yxf4s+6L1NHZv7TcVsys2s2SExMfu8cHJ/eSbPuqcv0xWOGG5NKG4yQYaW/aYvs2ojDKjIsrWthS6z9yWW9RaQfWJvCghc9NmYTl78bEojjANFN3JH9BSU1KhoEkQb+3OGfiF49VK05X1UUiCQBPogIgUOJYkbg8cNcl4Ab5SyAE+2fPRqrAkPBfnyi3rBSrXM6rnjRfA3oRr2hkYJhxaa5pff4Pzuppx8Ae/HvBGw8mcetLy0RucwTBETALwIJDTjmJP5VzmW93IZCfRXGl239Lr4kRRgL4m9n1zQQDSMsq2srm8VTa3ZOVTsYdMX0fdUlMxlckElla49Ll5SklGx4irDIXR6Vxzylzt1MaKhaHvS5/S6pd3Wxw/s4b2dDYUMiVKr4tbK6SLm2kKQUZEKdep8OjoME5jofr58ESDMAIVKImQoRAqPiZ9p6TyaCBQofAKlC5EQoqPZqA0aaXJ+ApLCiKyf9+kfQmXV3N9oHTRtkWRA3H+8UBrKiM2aV+hNCilSHlB6GdTtK4CNrcmqSuLmNwZw4Ti+aef5LTUxiGH57dULeHUlSeOypgMhuEyZDHzu9/9josuuqjf4z/72c+46qqrAHjve997+CObYHRHqpDLz+CVjdvIpFPgROmK1KCBuNa4Xmi7X5W7yWdF2JE6qr1+AiTAwlIekrBVwYldrzEvtZ3Xqo4rnURc7KirNW/rWtsv0TZfHVTmp7AIiCiXINc6gFwHbF/aeMrCISgSMaFHxLayOWwpX1A6+bargvWdC9kfqe9JLO4TEdpYsZCNFQtp6mzu1bbA0gER7eEJB1dGsHVARPcXg/VuC8cmN+FoD0f7aBVGcTIyVpgi6zUl1Qc30GSLRAiULikP+0lpAhXgWKLQN6m4M7fM+djkq7XC3k+64FAsgYglWTazivUHkrSlsyitc13ACdsshG9V6ImjMLkzhgnF1j/+Fyf4rUNe7634HJa97exRGJHBcHgMSsyk02na29sB+NznPkdTU1Ov6EsikeBf//VfC2Lmc5/73CgMdWwpNkpzZHhD68z4JL2AuCUJZJh/gRA4QH2mhTkdm6jwk9g66FVa7QsLSwehz4qIUKYyuXYCknzNUpWfoKnjFdbVLD9oVVS110mVn0Ahw2Ra3RO9sHMJthJNmXJRKosSEk84ONpDalUQIFkRyeWvhPkzszN7qc+2DegHc3x7M2Vlc5mf2l4yIpT3iymeFov1OQ628slYcXbHZnAg1lDw4SlO+g2wsAhyLsqKsiBNiji+sA6a9AwH98Mptayvwkqt4s7cMVvgBRZpP+gnjPKRt+q4Q9OsamZUhj26nnmrlXwvybzbMLllyxwbBKZ7tmHC0PL7HzJLD80FWwN/q17FuaedNDqDMhgOk0GJmWQyycUXX0wmE05RnHvuuYXndK7M9fzzzx+dEY4DvXxDlKLa76Qu3Yn14m9pclNIEVYEpSIV7KgJmxYubnsFS/n4CCztF1x2La0JEIWy6LjOC5l8jk2PH6+j/dKeKzka3BaO73qDiAo/iLQKk2MzMpy+KAvSueReClu2dICte27M+X9juQ+zsMeUha/1IfxgMjQmt4SOwlZ8QEfiZ6adQsu0Oo5JbefY5CY0moyMooSFRFGm0sxL76AjUlNILCok/YooUelhqTCNOG9KGM+ZEvq5xpkDGREOlbzoaEtl6ch4gCaZVQQDqCJLwIJp5cyrjZMNdJhsjC5ZGt93PdM92zAR2Pf4j6hi6ELm9YolRsgYJjSDEjMNDQ388Y9/JJ1Oc+mll/Loo4/2ej4ajVJfP3iPlYlMfroh6yume63M79xEhRcm50J483atKAiL8mwXi/e/hG85OCqLh52r6iEXHwmnchwdJteJXBRGA1aJOIJGDOjqW++2cGJnM06QpVgAWTqgLEjRk44a3uhdGcXRHnYuMiKAgHCKpG9JtkVAXPc43ZTyg/GFRZlK023FC68bNtSUBMjeybl2FbMzexHoQ7ZiyCf9BlhUqHTBiFDQ03NpOKaEg0ETJufu6EiTGYTQCDRsaetme0eaXJU+gdZFR71wuAqJwmk/IO5Ypnu2YdzZ+fiPqSNz6AWL8LDZULmIk08/a5RGZTCMDIPOmamrC70EXnjhhSPWpj0/3eD6imnuAY5tD6c+pApvsPlqnViQwbXjZGWMmN9NPEjlBIpXqBQKnXNz/iqFCYpQRAwUV3B0lgCnX4JrPnoRUVlE6PDSK8k0n/8SIJCEUzqujOBri4ogRb4Hk0V/RGEb+ZyQPn4wOkzWtVSYZ2OpgBhZZME/BjSSrLCxCLt7VzP4qqSoyuam5fzC6+ePUr6oOxB2aEoYqaPa6+yVeHy4UZo39icGjMSUQmnwlKIyYuGrno7hxeQjPpIw8dj1A6bFI6Z7tmHcaHn8P6hjaBYBaRHhDw3n8v6T5o7SqAyGkWPQYubjH/843/3ud/nQhz40YBLjj370oxEb2HjQng49QfxAsbArnPrwhIODF/qnCBHa1aNxggxaRpG5qEteVOR/R4cFynnflR5RMzACsLSP2+dtqfa7qPI6c3k3eVHVXxjJnCFeRkZBCKQ+uHgqft2+f9vKx8HH0V7O+C7cVlznOobnJoLCaFNAPDeVdWxiI7tjM0t6zuQprkpyhVPIJ8of4zxKh/sktSLup3hb91qq/ARSK5SQB23kOVj8YRTeKZ1LEBbFErXEcrl/LWG6ZxvGj87Hv0v5MNbbULHYCBnDpGHQYmblypUAnHLKKUfsh3LGC/CK3GyzMtIrAgHkKoPA0opI4BaEwECxKplLsBWHEDKQ93/RnNj5Kq9X91Q2RQMXJ5eH0yOqVElx5EoHLQSO8nLRlqHdrfPbzCcCQ/+bdX6cfV9fANV+J2XdqVBMoVA6TFTOC5Agl7hcbJR3aDRLE+txCHoe0VCXzbKyI8ELNU0jN/1Uouy8VPQn0DkDxaLHBhI2S6dXmLJsw7jQ+fh3+5o0DIoMFqtPO23Ex2MwjBaDFjPXX389ADfddNOoDWa8yQZh8mykyM1WiJ6oSy/vEcJcjsHIuqEKipqgi5Ud6wo3aUd7haRhhAh9T0psUwBx5aL7TlMNi57t953SgoF7Owkgoj0CLSlTQT/REyDRQtBhV4PWzHAPECCwctGm4mTavP+NRBMpFjK5VxJoosrl+K43eLL+jMOechqoJ1TJ6E/xwcjvuwChe57OL2IqmAzjQdcwhQxAcNw5R2w6geHIZNBi5n//7/99yGW+9KUvHdZgxpuIHYoXV0ZQuchCICQqV1qtNaGYAMJMkdEjqlyWd77Kf9efhSecwk1dFU35DIzOJc4On+L7tC56rMQ9vM8rh69r97MMDLEJj2NcpVnd/kJYbUVQSJguTvwNK776bycfGVJIBIoqP0m110lnpObQOzZA5OVgPaHyZefFgqaUQ3CxYV5+GUuIQp8ng2Gs6Hr8uww3QyvTsJD6YxaM6HgMhtHGtDMoImZbOFKGbrZW3s02SkZGKQvSYaRA60KUpFRF0kiQvyFWBt2c0/I0LdE6AmFjaR/Zp3JmoPVHciJQDPB7KQYjoARQHqRIWOW4wqEiUDlBA1kRQYswzTmq3JJJyz2vpXImdopp2fZDipkBIy/lC2js3jqgEWFx9VWhG7gQ4Q/FU5C5WbOciHEsgWBwVUzFvkZRW1Ibd47Y6VzD6JI4DCGzt+IY5q88b0THYzCMBYMWM5M96jIYauMOZRELN1D93GxTMkpMZbHIVzbJwu+jSVWQpDKV7DXVNZhbXH6aY6IFivPjLwguIfCkg6UCJGFZuNY9DjyH2t/8/i1IvUXCqRwwd+ZgkZeTOl9BoobUE8oPFLbVc3TLbIEQspBLY8uw0qkyYpHxA9pS2QEFSi9fo1zrhIN19jYYBuJwIjLPVq3k3LetHNHxGAxjxZDvdb7vc88993DeeeexfPlyLrzwQh544IFhD6CtrY0LLriANWvWDLjMT3/6Uy688EJWrFjBhRdeyEMPPVR4TinFihUraGpqYsWKFYWfVCo1vAHlvma3Rut5uXoZXXZlrrJH4UmHDqeGt2JHk7bioxSX6U+Yn9Pz79DWnFgUjyimXCr9JDGV6TPSnsTlwe5BJHBp6mym3m3p/6RSLO3aQCTXZqKQRF3UjdtRHkqXfrUAicxVX6F16MKc2k883U5N1CZiCTK+JuUFZPywR1OXG+AHmmQ2YO2ODv5nWxtPbm3t16k772vUnvawpRhUZ2+DoRQ7H39w2ELmtfJGI2QMk5ohTzN9+ctf5i9/+QvXX389s2bNYseOHXz/+9/HdV1uuOGGIW3rhRde4Pbbb2f79u0DLvPHP/6Rr3/963zve9/jxBNPZN26dXz84x+nvr6eCy+8kM2bN+N5Hi+++CKRyOElWranPdxAUeZIsoGmJVZPizONo9w9lPspuu0yXByaEq9hK69gvT9WkmGwURnoySuZyOTNBPsylAgUhGIjZcWJ62y/6aB6t4WlyY3U+B2AoDxI9e75JARZaVMWeDj4eCVSJvPVV3E/xduSa3sahUqJ5dbwUmQee+xpvcZO7l9LCCK2QGkKAuXko2uZURnt1UYh7shC1MYSEBcDd/bOT0l1iwhtqSxShuermZ6auux7/IfUDdHZN89eu55VZ759ZAdkMIwxQxYzjzzyCD//+c+ZO7fHf+DUU0/lQx/60JDEzC9/+Uvuuece/uEf/oFbbrllwOX27dvHxz72MZqamgBYsWIFq1ev5rnnnuPCCy+kubmZJUuWHLaQAXD9sFlkzJZELKhKHeCYzk3Es4lCjkXeE6XbKsPWAeU5U7qxwNyiSpOVEZCSrO49HVTvttDU9SqRgnszQJ+eT9LGw0YjiKiwIWavqSatiSiPtIyyOLkFmyDX6DKcphLJNo6nE79mGfsj/ae4skoRFXZJgdKe9uhyfaK27CdAhBBErNKdvd/Yn6DT9XBlNXvfbAPAlgJbSjM9NQVpf/y7lO5Wdmi6iDP//P/fiI7HYBgPhixmtNY0NDT0euzoo4/u1XhyMJxxxhlceuml2LZ9UDFz9dVX9/q7tbWV5557rlBd1dzcjOu6XHHFFezatYuFCxfymc98hpNOGriPSBAEBEH/fBcn59mmlKbObWFx68tI5ZGVEQItcLRPPNdjKaKyZGWEtIxSpoZmEW44NEMRbhHl4gsLocNeVNHABbun51NGRikPgnCrQhTM+GIqQ1KUYwmNJ2yUsHp3/EYRUR5+rk+VTVBIEA7bQ1ikkcSUy6LEFg5Mq0P3ESW+0mT8IBQbQhCRgk7Xo7XbLYhnCSX1sIXG05p01ieIWuxPurywu6vQ2VshC+t5gcYSYcTmuZ3trDyqiukVQxM0lnWwdOuxZ6DrdKKSH+tYjrn7ie8TG+a6rbKKWee9d9TGOx7HYyIzksdjol2rE4Ehi5mrr76az3/+8/zTP/0TVVVVuK7LXXfdxZVXXjmk7fQVRIPhwIEDXH/99ZxwwglccsklAMRiMZYvX86nP/1pqqureeihh/joRz/KI488wpw5c0puZ+PGjSUf14CQtXRjsax9A1J5pIlga01Ue4Vv+AJNmcoQUS6eiOQqagzjhYXOtW0A0Byb3EjcT4UtFYSDElahvD7vY6MAqRWW8ong0+VUF6qaKvwkkVwkrsuuZFdsBkuSW3BFLiNB617aIytsKvwkVV5nv55aAOlscb+pcM3XNm7C1grfqqHb00XTU+FvPa0iBNu2bGIPPrtlLa6wkSiyWOGyBVNHgev5oeDyJc9t3ctRqn1IojBvjDlRGOg6neg0NzePyes0Hnhh2Dkyr8YWIitr2Ldu3UgOqSRjdTwmCyNxPCbatToREHqIIZWzzz6bffv2IaWkurqaRCKB7+caKRZ9K33jjTcGvc0lS5bwox/9iNWrVw+4zLp16/j0pz/NqlWr+NKXvnTQaaWLL76YD3zgA1xzzTW9Hk+lUrzxxhs0NjZSVlZWct39SZcNb25n+f61KCCqvDHNizEMDwWFaEkgLXRuOqlbxkBKbOXnuorrnKQIIyK+sMkKm00VC0nbZQXBEtVewYdmeraFkzpeJp1rE9EPrYkrlxdrTmR/tL9IL+UMPC1mc8KMCja0pGhLe2ite/WIskR4PU2LO5w5r5aOjM9ft7fj5FyHk9kArRWWzLfLCH8qIhZo8LXm9Lm1Q+oHNVG+7Q3mOp2IBEFAc3Mzy5YtG/VjmXzigWEb4u2x6jjm3MtHcjglGcvjMRkYyeNhjmd/hhyZ+cpXvoLv+9i2jVIK13XZtGkTy5cvH43xAfDwww/zL//yL3zqU5/iIx/5SK/n7r77bi688EKWLl1aeCybzRKNDhxityxrwJNhVnUZfqXE3hcUfF0ME59QMEgyVhSNIB5kkKhcSwWBFgJXOjjKJ2yqEJKREQJhsSS5uZ/rbz7KEpZy59ozlHC+6dWeoQSlzqBE1ufFPQlmVETZ353tVbKuCXtGCa2ZVRXDtm085aM1SEvgq75bzHVM16HPjS0Fnq/x1OT+0DvYdTqRGe1x73v8/mHnyLRSzoILrhjR8RyKyfo+jhbmeIwOQxYzyWSSz3/+8zzzzDP8+7//O9/+9rcRQnDHHXfwvve9b8QH+Pvf/57/83/+D/fddx9nnnlmv+c3btzI888/zze+8Q2qq6v57ne/SzKZ5IILLhj2a0ZjZUbITDIUkqyMEFMullbkp2oqg+5cbyzI10iFEgfSVhypFZFcFGYg199Ou4qknTdRlCUThLvsytBNeJBEbYtsoNjRmca2BEqFU1c618BSAlIK9iZcljRUELUlMpfvU6paKWdOXejWLsXgzPoMk4t9jz9I1QDu2ofCB45+59WHXM5gmIwM+dPuvvvu4+abb0YpxY9//GPuvfdeHnroIb73ve+N2KBWrFjBI488AsA3v/lNgiDgU5/6VC8fmf/v//v/gNDMb+7cubz73e9m9erVrF27lv/4j/+gpqZm2K/fnfUmfFmzoTcCiKkMdq7aTBQ9LnMTS/lydQuFhUJoXUjqVcIKk4ORZIVNRHks7doASoEQbKxYiJ9LELZ0ALlk43gu+XhjxcJB9YYqdme2pcQLNBEpqYo5VERsyiMWFRGbqphDzLbozHi81Z4i4wfEbUnGD5BoQr8+kevTGUZlpBBIEfYYq4raQ5piMkx8dj7xM6pID2tdBVS+8+MjOyCDYQIx5MjM9u3bed/73sfrr79OOp3m9NNPx7ZtWlpKmJUNkg0bNvT6+6WXXir8/pvf/Oag69bU1IyoO/G+hEv7vj3MHLEtGsYCOcRvqwIoU2mSVllBhNjKJ6YyhU7pNX4HZ7U9y+uVS2iJ1rOuelmhHUJxgnDJRpSHeHEhBEKrAfqShyilcH3FS7u7woanGgKlSXkKR0r8IGwBQa4nVESGpd+OFBw3vdL4zRxBrH95HccEncNaVwHlRsgYjnCGLGbi8Titra3893//NytXrsS2bdavX09tbe1ojG9MyZuYlanhhXENk4O8dJBoRC7/vThBWBUlCFd6CVZ2rGN9xWLeKptLy7S6ko0qh/LaUodCxc+dZr7SuLlWBvlpJgjFiybMgXGscIpJ+RqlwmRhiYJ82bgUIKA26hifmSOMIAg4Zs/aYa1rhIxhqjBkMXPFFVdw+eWX09XVxT333MOrr77Kdddd1y8xdzLSnvZoT3tY2iRnHckUSw9bewTKIh5kEKjCBFV+OsgiwFYBy7teZ3Z6DxsrFw0tClMCBXR7PYLZDXqKsgVQnN8rCbu5Q1jhVO5YpD1FecQimm1l6cJFxgH4CCfzxAPDsn4wQsYwlRiymLnppps45ZRTiEajNDU1sWfPHv75n/+Zd7zjHaMxvjEl4wdkA0V1kBzvoRjGiJj2iAR+oQO6KBQ5hygkYZ2Uptrv6pUYPNL0fuWQks7AtiTtB5RrxbSyiKmMOILpfvy7RsgYDINgyGIG6OUHM2vWLGbNmjViAxpPMtkgDOsPs1rAMPkIoy+lc1Z68lnCgumscHB00K//EwBKMbuoh9eu6CyQh19NpLQmUBpL9ryWJcDTEAhTrXQkY4SMwTB4hiVmjkT2JVzeOBBGZGxlOhUbeoSOyhvtSUkW2av/E8DC5BYak1twtFfwiVkuXmNjxUK2VCwc8mtC72aVSmusosmxIJdXE5agG45EjJAxGIaGETOEQua5ne1kfMXC5BaOzuwd7yEZJhCS8CaRt9qLoInmWlssTG7h+MQGBLqXT3REexyfCKv0BhQ0WvdLJhZSgO493VTs0a21JhsoaqI20XTpruOGyY0RMgbD0JnyYiZfweQFmigBSxKbwyRMTL8lQw+C0F7Xyk1BlvvdVGPTmNzSI2SKpn0CrbAIm11uKZvfb8qp3m0plHkXOw9vrlxIa7QBqXVhsjOscgormLJBWHp9bEM5u4dXqWuYwByOkIld8NGRHo7BMGmY8mKmPe3R5fo0uC00tr+KQ/ht1wgZQzECKAtSOIR5VUu73gAENjmvF0ShzBtC/2EFONpjtruHXfHZhefq3RaaOpuxtd/PeXh5RzOv1CzjQKS+8LoayPgKKQS1sbD0ur7MZvdY7bxhTBiukAF4Yf7FnGUSwQ1TmCkvZlxfUZ3az7HtrxALTK6MYWAi5Ltf9zbpC29AvfNX8h2vBVDup4qeCKM1tvZJiygWGkf7KCHJiAgxnWVRYgutdXVIS1Ibs5lfW07KCyiPWMytiSOlJAiCAceptaY97eH6ypRrTxIOR8j8tfIkzl8y+9ALGgxHMFNezEQkzO/anPuW7FCmBr5JGAyDJd86QQPddk/n52q/iwo/SYBFRZBC5jJtNKCwyMoIFX6SSq+LlFWDF0DzvgRKa6QQbGtPFyIzpdiXcHljf4KunAmfFIKqqG2M9CYwhyNkurE5//RVIzoeg2EyMuVnU2SyjYogiSsjZIXpZWMYWTSwKzIzTPb1OpmR2Y+jfWIqjZ1LKQ4jPWAThI/rgIjKkg00yayPLQUxW2JLQXvG47md7exP9o8i5hPZ29NeyXX2JUzkcaJxOEJGAfXvnPxmpQbDSDDlIzO+m8bRGkd5xLT5sDeMLAI4Jr2D2e4+KvwklvKxGbgKSQJovyCsNRqZ6+VkCYiLsP/S+gPdVBatV5zIHndkYVqpeJ039ieYXhExU04ThMMVMqZyyWDoYcpHZuxoHKkD4trFfMQbRhJFKGaOS26kyu/CkzbuIKJ/krB6CUJPmaCoNFsIQcSSdGV93KLvIvlE9qgtS7sGW5Iu16c97Y3ErhkOEyNkDIaRZcqLGVVWg6VNnozh8AnzXgQKUTSBBFIr0iKKgEK13KGY5od111pTEDZ5rHwH7aJScNdXuRyZ0tuzRFji7frGaG+8MULGYBh5pvw0k96/DTmAnb3BMBTyibx5ESNyf/nCokKlkFoVHitFvjfToSKEpRyAo7ZEirCztlViA4EGKQRRe8p/fxlXjJAxGEaHKf/JFvG6x3sIhiMIiUaisFAFcRPVWSwdduQeSMqEvjQyt44gK2ymuweo9jpJuj5+bq4p7wBcFbGJFkV5auMOVVEbN1D9IjmFdaI2tXGT5D5eGCFjMIweUz4yE7flIAP/BsPQKe61lK9aKr2cLjS8DJAcn9jQyxl4Y8VCUuUzCNC9HIC11rSlsri+YnZ1jGTWJ+0rIpbEEhAoTSzTTpX2WDxt5Dt9GwaHETIGw+gy5cWMrqwb7yEYjnDynjMMYTrTk3YvZ+CmzmZeBmTdUSydXkV9mc1mEeHpbe0kskHBUyZqSRwrzKGpTB9gQddmKoMkjgDZJfF21mAtaMKqMyZrY4URMgbD6DPlp5n2ZSW+OQyGCYZCghAoYZGWUWwdsDi5hZllDo4l2Jdw2S+r6Mj09qFJ+QFZP2BFrJuViVeZphJEo1FkrAwsB5Vow3/taYLWXeO9i1MCI2QMhrFhykdm3vLi1JiibMMEQUMh5yYg12tHCLLSocJP8tqu3by6vxohw+mocgss2cdTxgtwdjZjKR9i5T2l2paNlhbaTRFsXYecdpTxnBlFjJAxGMaOKR+SKHM7sDCl2YaJQX5KSureJdQBEokmqrIEgK/CROHurCJRlCAshKAuSBB1EwRWf4M8IQQ4UVR3B7qrZYz2auphhIzBMLZMeTFzlOo0cRnDhEJArhaqBwuFQuDKSK/HNWGSb7fXI2iiKovQCi0G6KIsLVAKnc2MwugNG574oREyBsMYM+XFTG3QNd5DMBj6Uewhg9ZElEfSrqDTruq3rA4XIe2HEUZXRtBCIgYyg1QBSImIxEZh5FMbPwiYP8z6SCNkDIbhM+XFDNaUTxsyTEAc5YHWWDogrlx8YbGxYmHolleCfITGDxStViVutBIryJb0nMFzkeU1iCpTqj3SnNC2bljrGSFjMBweU17MWDUzx3sIBkM/JJq4crGVT5ddybrqZbREDy4+NJDxFY4lsec3IWwH3BQ68NFaowMf3BTCdrAWNJnk3xEm88QDw/pANULGYDh8TFhi5gL0q38xeTOGCcXW+Bxa4tNxZSScWhqk8ChzLE6aXUN9ZZSgzCHYug7V3QGeC1IiK6cZn5lRYLgJv0bIGAwjw7hHZtra2rjgggtYs2bNgMs8+eSTXHrppTQ1NXHRRRfx5z//udfz3/ve9zjrrLNoamri2muvZevWrYN+/UTr/lxTQINhdAmbUB4aDewqm83+aAOdTvUhhYwo+nf5rEpmVEYBsOpm46x6F5EV78BZ9vbw31XvMkJmhDFCxmAYf8b1Lv7CCy9w1VVXsX379gGX2bZtGzfddBOf/vSnef7557npppu4+eab2bdvHwC//OUvefDBB3nggQdYs2YNxx9/PJ/61Kf65QoMhJ9OIdGm1aRhDNCDigB22lWhiBn0VkMhE7Ekcad3sFUIgaxuwGqYg6xuMFNLI4wRMgbDxGDcxMwvf/lLbr31Vm655ZZDLrdq1SrOP/98bNvmXe96FyeffDI/+9nPAPj5z3/OBz/4QRYvXkw0GuUzn/kMu3fvPmikpxg/m0bkxIwRNIaRRtO/G7aXa0Op+zyvEGRklPU1S7GlICLD9gSHkh+WANsS1MYd00hyDDkcL5mOiqUjOhaDYaozbjkzZ5xxBpdeeim2bR9U0GzevJnGxsZejy1atIj169cXnv/Yxz5WeM5xHObNm8f69es59dRTS24zCAKCICxblU4UEEgjZQwjRP5MErkfDWRFhJRdxu7YTA5E63GCLI3JLVT6CSw0AYKEXcmmykXMnH0MdGfpyPjEbYEjJZlAEajegluiiNkOgdY4lmRJfRlKDWYiqzSWNYAvzThRfJ1ONIab7AthVGbmaadN2H0bKfL7d6Tv52AZyeMx0a7VicC4iZmGhoZBLdfd3U08Hu/1WCwWI5VKDer5UmzcuLHwu/QyNIJJADaMGKHpHWSxSdkV7I5N50C0npRdDkICmsCu4JlIHdV+F1GVxZUREnYF03SKzO7N2CKCklUkfIHMWehZhE7AOie+BZD1skR0QHW2m92bd7H7MMa9cuXKEdj7kaP4Op1IHHvghcMSMusbVsK6dSM4oolNc3PzeA9hQjESx2OiXasTgQlfzRSPx8lkejuVZjIZysvLB/V8KRobGykrKwMg6NiP99wbhawZI2oMh0M+crKlbD67ymbTaVchhCg0g7QEBBqygcaWglnTZ2NLQVnEYk5VFCl7bpP7ky7rD3TTlfXROswDrovYLKkvwxKwYctWlixcQF159IjMhSm+TicK3YcZkYld8FGaRnA8E5kgCGhubmbZsmUmkoA5HqPNhBczjY2NvPbaa70e27x5MyeccAIAixcvZtOmTZxzzjkAeJ7Htm3b+k1NFWNZVs/JpHx8y0YHHgKNQiAGmahpODIpzm8ZCAVoeuez6Nz/LTS+dOh0qolYguOmV7Iv4dLl+nhKI0WY33Lc9J7Ko1LMqi5jZlWc9rSH6yuitqQ27iCEIAgCduos9RWxI/aDsdd1OgF46w//yfRhrjuVE34n2vs43pjjMTpM+Jrkyy67jLVr1/LYY4/h+z6PPfYYa9eu5d3vfjcAV1xxBT/+8Y9Zv349ruvyta99jfr6elatWjWo7YtIDOk4EClDiby2M1JmqqEBLzeh44kInnBQub8DwMeiW8bZHZmeS9gVIAS66AchCjkyrl1G3Ja8be40jpteydkL6jhj3jRWz6nljHnTOHtB3UGFTB4hBNPKIsyqijGtrH/jSMPYsOmp3zFdtQ9r3aksZAyGsWJCRmZWrFjBF77wBS677DIWLlzIt771Lb761a9yxx13MHv2bO69917mz58PwJVXXkkikeDGG2+kra2NZcuW8Z3vfAfHGVxVh6iqR5bXQKINP1ZByvORWhEJXCwCI2uOcLLCwZc2WeFgobADj9eqj8OTEVwRnkNR7fWY12nNRfv/SER7BFrlcmByaIVE4wkHt24ep86sLgiWvCgxTD62bljP0akdw1rXCBmDYWyYEGJmw4YNvf5+6aWXev195plncuaZZ5ZcVwjBRz7yET7ykY8M67WFEFgLmtCvPY30MoBNIG08rbFUulA2O+FDWFOUAIEnI/hYlKn0oKvSNBAIm5QVD5NRcs0cu5xKDpTPDiM1fQqDBBCxLfbULeGYltew0CitCtNSoV+RgHkncvYi4+lyJBAEAdXb1g5rXSNkDIaxY0KImfHGqpsNx58JW9cR6WxDBx5aiEKH4niQJqI9E6UZJn1zUAaTkwLgE2agFEfIAgS+cNgbbaA8SFMVdJORURCClBDEgzTWAD67CvBxcPCAMCoDYOmAiPLwhcWbVYuwZCiJbBm2BziqKkZ5xCJiS2K2RW18Jv62coKt65BetrBHwoliL2iibP6JwzhKhomG1pp1a/7GUp059MJ9MELGYBhbjJjJYdXNRk47iq69e9i0p4W0cOhyqnB9TbXfRUPmAEdl9lLtd/V8A5+EicLFHiiHs40wUTpv0S+w0AWz/vA3i5QV582yuXREamhwWzgqs5e4n8ISoHWAnashC7BQIiw2tnWAkALfioIKEFoR4OALC4EOnwdmZFtxZQQNxJVLVobLpKw48cBF4hMQrpOP1ihpo4RNpwhL+aMqS1y5aCFJOJVsr17MksWLiViyX8JtX5z5J2Idswy1ZzM6nUTEK5CzFvWqRjJMXvYlXPa/upbjutYPeV0jZAyGsceImSKEEDTMOgpVUccb+xNYrk/M0aTtGrbZ5fhHH09k3yYWdG5EaIWPJKaz42K4N9joRjE+Fhkcyjn0N80uu4o95bOJOBEWJDZD4JHREl8LEGDrAF/YvFx1AlkrEnqllMoxyQmBzkgNmysW9vJVcYIsjd1bqfCT4TEUElExjbLGk+iM1fPypjeJa4+yIMXRHZuxdIAnHQIkAhUKEQSuFSWqs9j4SNvCqpmBnLecvWnN3l07mXnUbGZVxRB+FpwoLV6cra0pnHQbkSCLZ0cRFXUcN6NqUEm5eaSUyNkDV80ZJif7Ei67m9eypOuNIV9j+fJrg8EwthgxU4IZlVGmV0QKJbGOhG0bXmNWTQPPdc8jG61kbucm4tkkgbJBB4DOxSXCwu5ASDQSBx9b93d81CL0hxX64I6tGnBFhEBaRIMsAoXCQkiBEhKlBTE1sDhJyRj7ow1U+wliQYaIDgrhmUJVTg6Re9QXDq9OW046Po2Tj67FyR5NsHUdkUQH+D5KC7rsKjZWLKQ1Wo8AUlKEZcdAMuel0g8hevcccqAlWk9d0EWdrZgzfRo1M2chhMDtytDpVONagrn7nsXSPlkZAyFy+UsCF0k5LpHyMqJL3o7ws4hIDFFVjxCCo4KA/QcOcNTRR/cqhVwMLKqvoD1de8gIjGFqobVmx5ZNHNu1flhCZn3DyinjI2MwTCSMmBmA4uqTIAh4C4jaEikEbbEGOuMNVGQ7cQKXtLZJ+4pIcUQCClEIIR2Wt71AWU50CGEVPijz93wFBMJBI7B0AChcGcUTDuSmLjzhEA8ypO0ytk87FldGabUqmZ/YyoLEJmzlFUqDAyx2lM+huXIpQgqEhmqvk/rMfhZ2v0lW2MS0h8xN24QJsVYYMdEB02zNUUfX5iIV4RSc3dVCujPBloTPbl2BAqJCUB2zOboqxkt7ulAaxCADVdVRm2Nqy5hZOb2fmMgf63K3k7JsEl9EenWP1gBSIKwYVqYrjJI0zBnW+2sw5NnckuSolteHHG3dGJ3PCWedO6WcfQ2GiYQRM0OgJmZTFbVpz3jEbUkyWlN4zvcVXV4QTsEQipNEpJq0FNhS8lZ0FUv2v4Dlu7lnQ4SQ4ETx555I1inHUS5i6wuktEUgwmhCfkpJCEHWihBTLt04JJ1qaqM2s445mfKy00hs34BKJXnLtdhmz8S2JXihFT5C0OFUo4B56e0IYZESEaQOsLRPNBJBWg6xwEcqwfK5DVhFUy5CCER1A3XVDUzTup+RG8DWtjTtGe+gtwFLgCPDPJsTj6riqKp4yeVq4w5VURtSmTAaVVwCjUZrsKTAsi1ws+js0JM0DYZi9iVcdu7cyYqge9DreAg2Tj+FVSedaHoQGQzjiBEzQ0CI0M31uZ3tYSTG6rGn97SmLGKxpKGCiohNxAqjCNlA5274M1Bt1fhbXkIn20ApkGGOiL1wBbG62QAEB7bTrRRKOGGibPHrA0pLJB7LpkWwGqb1imjUzA878XoJl10728kGoWhSmkJn8C6nirRTSYXXFU5TSQupNLYdCZcIssjKacjqgXtnDRTVaDqqmme3t+H6qqSgKXMsorbEV5pAaWL2wC6Y+WO9PhFFIRE6QAsrnBrLWfvHbAtUEB7HSGzAbRkMh0JrHebJBW4hUgkHz0vzsFg/42ROWbF8DEZoMBgOhhEzQ2RGZZSTj67ljf2J0J5e5+zpY4e2p89XTOmuFnQ2U8jvAFCdB9DZDIlkEq0FllBo7H4fphYBCokdi1NbJCh0n2jJqtk1vHEgwYHuLCr3yWxJQcy22FnbyOID64gELsqKILRCBz74LsJ2sBY0DSt/ZEZllNPmTuO1vZ0cSPVEaCwBZY6NbQm01mQDRW3MKUR0DrY9FszD7VpPPNNJBglSFPbDloDrIiunFY6jwTBUlFLs3rUTq72dqPYIEMicJcCA6yDYNOsUTjlx2RiO1GAwDIQRM4dAa43uaqE82xmKkJrp/RKEh5JAmp+uyRO07sLfuo4g2QEqwEaidIClAlxh9coTQWsc7ZGwK7FitYWH9yXcgrhSOXFVFbU5bnolc9yAV/d1EWhN1JLYUtASrSdTu5xFic3UqG6U9kBJZOU0rAVNoe/OMAmPTQObW7t5fV8ifF3bwhLgq1DIODKMugzmeM2oihEsXYX76tM4QRZtRcOpJRWAe3jiy2Bo2bEVtfkFKr1ulmtNICysQpetnhhNX5+kzJwmVh5vhIzBMFEwYuYgBK27CLauQ3V3MNt18V/egyqvKdzwDzeBNGjdRab5KQIvLGtWRJAoomhsFQApPBlDCYnUCltnCYTNturFLHXCKZp9CZfndrbj5aazpBAoDe0Zj+d3dnDy0bWcNndaQexkfIUUAl0zC3vxYqJBJ5vXv8aiY4/Hqpk+IqJACMHi+gqqos6wIlh9seqPJrrsrMJ7gZsFOTLiyzB12d28lqpdryAL/kggc9WFFipnAUCuOxe5ZQTZuSuoWzq43m8Gg2FsMGJmAILWXfivPY32PbCj+FLhSAeVaEO/9jQcf+Zh3US11qQ2vojKZsnIKEKGJccaixRllAUp0GApD1toNJJup4pNlYvQ1bOojTuFeX4v0MQdWRAiloC4kKR9xRv7E5y9oI7pFXUDdF926I5UF8qZR5LDiWD1ZaApOhORMQyHlu1bqdr1ChYKlbNTgFDEhNWAEi0kPhKJRAtwnXKmHX8a5dMHXzVnMBjGBiNmSqC1Jti6LhQy0bLQ61ZkEZaNtiy0mwqt7KcdNeybqeo8gOruICsdpAy//5H7v5SQIYatfLZOW0pgRXFlhFarEseSnJybomlLZelyfaK27DcOIQQRS9Ll+rSnPaaVRcalFPlQJdB9c30OJnb6TtEZDMMhCAKCzc8jUWGjjKJKOaUplGX7wmJL7XFkRARlRzl2wTycKpNobjBMRIyYKYHuagmnM5xoeGMtKs0RQqCdKKq7A93VMuybayLZjVAKbTm5xgBFr0FoiCfRZHBoidSHUzS5PJj8FI3rq0KOTCksEVZZuf7BjfnGi4Pl+gxlGspgGCz7Ei5b3nqLpV43OcOD3gsIgdYgCbC0JCMiBLWzzTlpMExwjJgpgc5mwtJpZ4DSYWmB5x6Wt0lWRnCExNJ9PVRCbK3QQjC7vpaF02pLRi2Kc2SsEnom0CCFIGpPvH5BB8v1eW5nOycXDPsMhpEhf85VplO9yq/7oiF0mRaC+TNqmX10nZnONBgmOBPvLjcBEJFYONejBijNHAFvE7u6nm67Alt5oXFKMVpjK49uu5LqhhnMqooxrSzS7wM1byznBgrdZxv5EuiqqH3IEuixpm+ujyUFQoQl13Fb4qnw+b77ZDAMl+JzTjgxAiQqzIbpd/2JnMxxnXKOmn20ETIGwyTAiJkSiKp6ZHlNGH0pIRLwXGR5zWF5m9SWRdhfvwRf2kRUBqkC0BqpAiIqgy9t9tcv6eUl02+cOWM5RwrSvsJXGq01vtKk/aGVQI8l7Wlv0Lk+BsNIUHzOpeO1dEcq0ULmojA5QaM1aIVEh0Jn0UrTBd1gmCSYK7UEQojQu8R2wE2FhnJah/+6qRHxNhFCMHveQtZPW06XXYnUfihqtE+XXcn6acuZPW/hIV8jb+JXG3MIlCbjKwKlqY05E3aqpifXp/TzlgA1gXN9DJOPXuecEOyobiQrHQJhhw7TaGTuJ0DSNXs59XMWjPewDQbDIDE5MwNg1c2G488seJvYI2gsl2dGZRQWN/LGvpnoZCuO7+LZUURFHcfNqBq0EBnJEuixYDLn+hgmJ33PuUTFdDbSxJzOjZRnE4WSbNcpx1q0iqPmGiFjMEwmjJg5CHlvk6BjP9tG2FguX5KstGbZrCqgqqiP09CFyGTqAp3P9WnPeMRF76mmobQ7MBgGom/Jf68msblzLlExndfLG4in29F+BidWxurjFmJZA/cMMxgMExMjZg6BEAJRVT+ixnIHK0meLILkcDhYw86htjswGPoy0PU1szJKMuv3O+danWqcaA0nH11rhIzBMEkxcfwxJl8e2p72sKUgZof9kvIlyfsS7ngPcUyYjLk+honPwa6vza3dLKorN+ecwXAEYiIzY8hg2w9Mr+hfhn0kMtlyfQwTm8FcX3sTLmfNn0ZHxjfnnMFwBGHEzBgylJLkqTDdBJMr18cwsRns9dWR8c05ZzAcYZhppjHElCQbDKOHub4MhqmLETNjSHF5aClMSbLBMHzM9WUwTF3MVT2GTNb2AwbDZMBcXwbD1GXccmZaW1v5x3/8R9auXYtlWVx22WXcdttt2HbvIV133XW88MILvR5LpVJcddVV/PM//zNKKVauXInWutc8+V//+lfKysrGZF8GiylJNhhGD3N9GQxTl3ETMzfffDMzZszg6aefpqWlhb//+7/nBz/4Adddd12v5e6///5efz/88MN885vf5JOf/CQAmzdvxvM8XnzxRSKRiZ/Uly9JzvtgeDkfjNqYw3HTK015qMFwGJjry2CYmoyLmHnrrbdYu3YtTz31FPF4nDlz5nDDDTfwla98pZ+YKWbr1q188Ytf5IEHHmD69OkANDc3s2TJkgkhZPq6jg5U8mlKkg2G4XOo68xcXwbD1GNcxMymTZuoqalhxowZhccWLlzI7t276erqoqqqquR6X/jCF7j88stZtWpV4bHm5mZc1+WKK65g165dLFy4kM985jOcdNJJA75+EAQEQTDo8eaXPdg6+5Mu6w9005X10RqEgKqIzbEN5UyvKP1tsDpqQTR0HFVqfCosBrNvkxWzb0NjornflrpOh3KdjfX1dSSfb8PBHI/ejOTxmGjX6kRgXMRMd3c38Xi812P5v1OpVEkx8/zzz/Pyyy/z1a9+tdfjsViM5cuX8+lPf5rq6moeeughPvrRj/LII48wZ86ckq+/cePGYY27ubm55OMpEWG/rEIhkCgEoIGWrMczyRTTVRdlOjus1xwrBtq3IwGzb4Nj5cqVI7atkaDvdTpZrrMj+XwbDuZ49GYkjsdEu1YnAuMiZsrKykin070ey/9dXl5ecp2f/exnXHTRRTQ0NPR6/Pbbb+/190c/+lF+8Ytf8OSTT3LNNdeU3FZjY+OQkoODIKC5uZlly5b1U8Raa57e1o7M+JTbol/TxLSv8WMzOXFe7YQMcx9s3yY7Zt8mN8XX6WS4zqbCezIUzPHojTkeo8u4iJnFixfT0dFBS0sL9fX1AGzZsoWZM2dSWVnZb3nf9/nTn/7Et771rX7P3X333Vx44YUsXbq08Fg2myUaHTjRz7KsYZ1MpdZrS2VJZIPQdVSWcB21NYlsQFdWTWjX0eEek8mA2bfJSfG+Tabr7Eh+T4aDOR69McdjdBgXn5l58+axcuVK/u///b8kk0l27NjBv//7v3PllVeWXH7Dhg24rlsyD2bjxo3ceeedHDhwgGw2yze/+U2SySQXXHDBaO8GYFxHDYaxwFxnBoPhYIybad4999yD7/ucd955vO997+PMM8/khhtuAGDFihU88sgjhWV37NhBdXV1yWjLl770JebOncu73/1uVq9ezdq1a/mP//gPampqxmQ/jOuowTD6mOvMYDAcjHHzmamvr+eee+4p+dxLL73U6+93vvOdvPOd7yy5bE1NDV/60pdGfHyDJe862p7xiAvZby4/GyhqY45xHTUYDgNznRkMhoNhvsYcJnnXUUcK0r7CVxqtNb7SpH3jOmowjATmOjMYDAfDiJkRIO86WhtzCJQm4ysCpamNOZx8dK1xHTUYRgBznRkMhoEYt2mmIw3jOmowjD7mOjMYDKUwYmYEEUKMe1mowXCkY64zg8HQFzPNZDAYDAaDYVIzpSIz+f4sfd2HD0W+l0YqlTrizI7Mvk1ORmvfYrEYUo7vd5zhXqfjzZF8vg0Hczx6M9LHYyJcqxMJobUewLnhyKO1tZVt27aN9zAMhgnLcccdN6RWH6OBuU4NhkMzEa7VicSUEjO+79PZ2Uk0GjWK1mAowUT4tmeuU4Ph0EyEa3UiMaXEjMFgMBgMhiMPI+sMBoPBYDBMaoyYMRgMBoPBMKkxYsZgMBgMBsOkxoiZPqxfv56/+7u/45RTTuH000/ns5/9LG1tbQC8/PLLvPe972XFihWce+65/Od//uc4j3Z4BEHAtddey+233154bLLvW0dHB5/97GdZvXo1J598MjfccAP79+8HJv++vfbaa1x99dWsWrWKM844g3/5l38hm80Ck3/fJittbW1ccMEFrFmzZsBlnnzySS699FKampq46KKL+POf/zyGIxxbBnM8rrvuOpYtW8aKFSsKP0899dQYjnL0Odj9oy9T6fwYE7ShQDqd1qeffrr+t3/7N+26rm5ra9Mf+9jH9PXXX687Ojr0Kaecon/84x9rz/P0M888o1esWKFffvnl8R72kPnGN76hjz32WH3bbbdprfURsW/XXHONvvHGG3VnZ6dOJBL6k5/8pP74xz8+6fctCAJ9+umn6x/+8Ic6CAK9Z88efeGFF+pvfvObk37fJivPP/+8Pv/883VjY6P+29/+VnKZN998Uy9btkw/8cQT2vM8/dvf/lYvX75c7927d4xHO/oM5nhorfXq1av1mjVrxnBkY8vB7h99mUrnx1hhIjNF7N69m2OPPZYbb7yRSCRCbW0tV111Fc899xx/+MMfqKmp4eqrr8a2bU477TQuvfRSHnroofEe9pB49tln+cMf/sA73vGOwmOTfd9effVVXn75Zf71X/+VqqoqKioq+OIXv8itt9466fets7OTAwcOoJRC5woPpZTE4/FJv2+TkV/+8pfceuut3HLLLYdcbtWqVZx//vnYts273vUuTj75ZH72s5+N0UjHhsEejx07dtDZ2cnSpUvHaGRjz8HuH32ZKufHWGLETBELFizg/vvv7+XO+Pvf/57jjz+eTZs20djY2Gv5RYsWsX79+rEe5rBpbW3ljjvu4Gtf+xrxeLzw+GTft1deeYVFixbx85//nAsuuIAzzjiDu+66i4aGhkm/b7W1tXz4wx/mrrvuYtmyZZx99tnMmzePD3/4w5N+3yYjZ5xxBk888QTvete7Drrc5s2bp8R7M9jj0dzcTHl5Obfccgunnnoql1xyCQ8//PAYjXJsONj9oy9T5fwYS4yYGQCtNXfffTd//vOfueOOO+ju7u4lACA0LUqlUuM0wqGhlOIf/uEf+Lu/+zuOPfbYXs9N9n3r7Oxkw4YNbNu2jV/+8pf86le/Yt++fdx2222Tft+UUsRiMf7xH/+RdevW8eijj7JlyxbuueeeSb9vk5GGhgZs+9BdYKbKezPY45HNZmlqauKWW27h6aef5vbbb+fOO+/kd7/73RiMcuzpe//oy1Q5P8YSI2ZKkEwm+dSnPsVvfvMbfvzjH7NkyRLi8TiZTKbXcplMhvLy8nEa5dD4zne+QyQS4dprr+333GTft0gk7KB8xx13UFFRQX19PTfffDNPPvkkWutJvW9PPPEEv//97/ngBz9IJBJh8eLF3Hjjjfz0pz+d9O/bkYx5b3pz+eWXc//997N06VIcx+GMM87g8ssvPyLFTKn7R1/M+THyGDHTh+3bt3PFFVeQTCZ5+OGHCydiY2MjmzZt6rXs5s2bWbx48XgMc8j8+te/Zu3ataxatYpVq1bx6KOP8uijj7Jq1apJv2+LFi1CKYXneYXH8s0KjzvuuEm9b3v27ClULuWxbRvHcSb9+3YkY96b3jz88MP9hEs2myUajY7TiEaHge4ffTHnx8hjxEwRnZ2dfOhDH+Kkk07igQceYNq0aYXnLrjgAlpaWvjBD36A53n87W9/4ze/+Q1XXHHFOI548Dz++OO8+OKLPP/88zz//PNccsklXHLJJTz//POTft/e9ra3MWfOHD73uc/R3d1NW1sbd999N+effz6XXHLJpN63M844gwMHDvDtb3+bIAjYsWMH9913H5deeumkf9+OZC677DLWrl3LY489hu/7PPbYY6xdu5Z3v/vd4z20cSGZTPLFL36R119/HaUUf/nLX3j00Ue56qqrxntoI8bB7h99MefHKDC+xVQTi+9///u6sbFRn3jiibqpqanXj9Zav/LKK/qqq67SK1as0Oedd57+r//6r3Ee8fC57bbbCqXZWk/+fdu7d6+++eab9emnn65XrVqlP/vZz+rOzk6t9eTft7/+9a/6ve99r165cqV++9vfrr/+9a9r13W11pN/3yYzfUuRm5qa9K9//evC30899ZS+7LLLdFNTk7744ov1X/7yl/EY5phxsOOhlNLf+ta39DnnnKOXL1+uL774Yv273/1uvIY6Khzq/jHVz4/RxjSaNBgMBoPBMKkx00wGg8FgMBgmNUbMGAwGg8FgmNQYMWMwGAwGg2FSY8SMwWAwGAyGSY0RMwaDwWAwGCY1RswYDAaDwWCY1BgxYzAYDAaDYVJjxIxh1HjooYdYsmQJP/jBD8Z7KAaDYRDs37/fNDs0TEqMmDGMGg899BAf+MAH+NGPfoTv++M9HIPBANx+++3cfvvtAHz729/muuuuA6ClpYULL7yQtra2QW1n//79XHnllTQ1NXHrrbeO2ngNhsFgxIxhVHj22WdpbW3l9ttvRynF73//+8Jz7e3t3HLLLaxcuZLzzjuPBx98kKVLl7Jz504gbNb2iU98gtWrV3POOedw991392u2aDAYDp9PfOIT3H///UDYtXkoUZm//e1v7Nq1i7Vr1/LVr351tIZoMAwKI2YMo8KDDz7I+973PmKxGB/84Af5/ve/X3ju1ltvJZFI8Kc//Yn//M//5M9//jNBEACQSqX48Ic/zOLFi3nqqaf4yU9+wjPPPMO99947XrtiMExY7r33Xs4++2xOOeUUrrjiCv70pz+xZs0azjrrLP7t3/6N1atXs3r1au68886SXwjuvfderr32WoIg4JJLLgHgkksu4bHHHjvo6/7oRz/ijjvuoL29ndWrV/PMM89w7bXXcvvtt3POOefw9re/nWQyyX//93/z/ve/n9NOO40TTzyRa665hm3bthW285vf/IZLLrmEFStWcNFFFx3ydQ2GARnv5lCGI4+dO3fqE044Qe/Zs0drrXV7e7tevny5XrNmjd67d69ubGzUW7ZsKSy/adMm3djYqHfs2KF/+9vf6tNPP10rpQrPP/3003rFihVjvh8Gw0Tm2Wef1aeffrret2+fVkrpn/70p3r16tX6f/7nf3RjY6P+9Kc/rROJhH7zzTf1+eefr++++26tde8ms/fcc4++5pprtNZa79ixo3AdDob/+q//0uecc07h72uuuUafeeaZeu/evbqzs1Pv2bNHn3DCCfpPf/qT1lrrtrY2/cEPflDfeuutWmut//a3v+kTTjhB/+Uvf9FBEOgnn3xSH3/88XrTpk0jdYgMUwh7vMWU4cjjJz/5Cb7v92pn7/s+3//+9/nEJz4BwNFHH114bs6cOYXfd+3aRVtbGyeffHLhMa01nufR2tpKXV3dGOyBwTDxiUajdHZ28vOf/5xzzjmH9773vVx11VWsXbsWIQT/9E//REVFBRUVFVx33XV85zvf4eabbx7VMZ111lnMmDEDgFgsxm9/+1vmzp1LMplk79691NbWsm/fPgB+9atf8Y53vIOzzz67sO5PfvKTwvoGw1AwYsYworiuy8MPP8ydd97J2972tsLjGzdu5OMf/zjXX389EIqW+fPnF37PM3PmTObOncvjjz9eeCyZTNLa2sq0adPGaC8MhonPihUruPfee3nwwQe5//77icViXHvttZx00klUV1dTW1tbWHbWrFns379/1Mc0ffr0wu+O4/Doo4/y//7f/0MIQWNjI8lkEtsObzv79+9n6dKlvdZfvnz5qI/RcGRicmYMI8pvfvMbhBBceumlzJw5s/Bz1lln0djYyC9+8QvOOeccvvKVr9DZ2UlnZydf/vKXC+ufc845dHd3c//995PNZunq6uK2227jlltuQQgxjntmMEwsdu/eTV1dHQ888ABr167lrrvu4tvf/jau65JIJEin04Vld+7cyVFHHTXqYyq+Rn/3u9/x4x//mAcffJAnn3yS733ve73Ey6xZs9i9e3ev9b///e/z4osvjvo4DUceRswYRpSf/OQnXHrppTiO0++5q666il//+tfceeedCCF4+9vfznve857CB5zjOFRUVPCDH/ygkMR4/vnnI6XkvvvuG+tdMRgmNM3NzVx33XWsX7+eSCRSmILduHEjQRBw11134bouW7du5YEHHuDKK6886Pai0SgQRkJHgkQigZSSWCyG1pqnnnqKX/3qV3ieB8B73vMennjiCf7nf/4HpRRPP/009957L5WVlSPy+oaphZlmMowov/jFLwZ87uqrr+bqq6/mr3/9K1/72teIxWIAbNiwgfvuu4+amhoAFi5cyPe+972xGK7BMGm58MIL2bZtG3//939Pe3s7dXV1fO5zn2PBggUAVFdXc9555wHw/ve/v+AnMxD19fVccMEFXHXVVdx+++184AMfOKzxvec97+GFF17g4osvxrIsFixYwIc+9CEeeughstksK1eu5K677uKuu+5i165dzJ49m69//essXrz4sF7XMDURWms93oMwTC0uu+wyzjnnHG666SYymQyf//znSSQSPPDAA+M9NINh0rNmzRr+1//6X2zYsGG8h2IwjBlmmskw5nzta19j3bp1nHrqqZx77rlYltUrb8ZgMBgMhqFgppkMY87ixYv54Q9/ON7DMBgMA3DnnXfy8MMPD/j89ddfX7BZMBgmAmaayWAwGAwGw6TGTDMZDAaDwWCY1BgxYzAYDAaDYVJjxIzBYDAYDIZJjREzBoPBYDAYJjVGzBgMBoPBYJjUGDFjMBgMBoNhUmPEjMFgMBgMhkmNETMGg8FgMBgmNf9/GTii1dp/HKUAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 561.5x500 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data['split_frac'] = data['final_sec']/(2*data['split_sec'])\n",
    "g = sns.PairGrid(data, vars=['Age', 'split_frac'],\n",
    "                 hue='M/F', palette='RdBu_r')\n",
    "g.map(plt.scatter, alpha=0.8)\n",
    "g.add_legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The results showed that gender was not significantly associated with the changes in speed in the two half-marathons."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's look at the relationship between speed change and gender."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\bayes\\AppData\\Local\\Temp\\ipykernel_42516\\43910585.py:1: FutureWarning: \n",
      "\n",
      "Passing `palette` without assigning `hue` is deprecated and will be removed in v0.14.0. Assign the `x` variable to `hue` and set `legend=False` for the same effect.\n",
      "\n",
      "  sns.violinplot(x=\"M/F\", y=\"split_frac\", data=data,\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.violinplot(x=\"M/F\", y=\"split_frac\", data=data,\n",
    "               palette=[\"lightblue\", \"lightpink\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Furthermore, we continued to study the effect of gender on the difference in front-to-back speed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>Bib</th>\n",
       "      <th>Name</th>\n",
       "      <th>Age</th>\n",
       "      <th>M/F</th>\n",
       "      <th>City</th>\n",
       "      <th>State</th>\n",
       "      <th>Country</th>\n",
       "      <th>Citizen</th>\n",
       "      <th>Unnamed: 9</th>\n",
       "      <th>...</th>\n",
       "      <th>Pace</th>\n",
       "      <th>Proj Time</th>\n",
       "      <th>Official Time</th>\n",
       "      <th>Overall</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Division</th>\n",
       "      <th>split_sec</th>\n",
       "      <th>final_sec</th>\n",
       "      <th>split_frac</th>\n",
       "      <th>age_dec</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>11</td>\n",
       "      <td>Kirui, Geoffrey</td>\n",
       "      <td>24</td>\n",
       "      <td>M</td>\n",
       "      <td>Keringet</td>\n",
       "      <td>NaN</td>\n",
       "      <td>KEN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>0 days 00:04:57</td>\n",
       "      <td>-</td>\n",
       "      <td>0 days 02:09:37</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3875.0</td>\n",
       "      <td>7777.0</td>\n",
       "      <td>1.003484</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>17</td>\n",
       "      <td>Rupp, Galen</td>\n",
       "      <td>30</td>\n",
       "      <td>M</td>\n",
       "      <td>Portland</td>\n",
       "      <td>OR</td>\n",
       "      <td>USA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>0 days 00:04:58</td>\n",
       "      <td>-</td>\n",
       "      <td>0 days 02:09:58</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>3875.0</td>\n",
       "      <td>7798.0</td>\n",
       "      <td>1.006194</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>23</td>\n",
       "      <td>Osako, Suguru</td>\n",
       "      <td>25</td>\n",
       "      <td>M</td>\n",
       "      <td>Machida-City</td>\n",
       "      <td>NaN</td>\n",
       "      <td>JPN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>0 days 00:04:59</td>\n",
       "      <td>-</td>\n",
       "      <td>0 days 02:10:28</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3876.0</td>\n",
       "      <td>7828.0</td>\n",
       "      <td>1.009804</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>21</td>\n",
       "      <td>Biwott, Shadrack</td>\n",
       "      <td>32</td>\n",
       "      <td>M</td>\n",
       "      <td>Mammoth Lakes</td>\n",
       "      <td>CA</td>\n",
       "      <td>USA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>0 days 00:05:03</td>\n",
       "      <td>-</td>\n",
       "      <td>0 days 02:12:08</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>3885.0</td>\n",
       "      <td>7928.0</td>\n",
       "      <td>1.020335</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>9</td>\n",
       "      <td>Chebet, Wilson</td>\n",
       "      <td>31</td>\n",
       "      <td>M</td>\n",
       "      <td>Marakwet</td>\n",
       "      <td>NaN</td>\n",
       "      <td>KEN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>0 days 00:05:04</td>\n",
       "      <td>-</td>\n",
       "      <td>0 days 02:12:35</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>3875.0</td>\n",
       "      <td>7955.0</td>\n",
       "      <td>1.026452</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 29 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0 Bib              Name  Age M/F           City State Country  \\\n",
       "0           0  11   Kirui, Geoffrey   24   M       Keringet   NaN     KEN   \n",
       "1           1  17       Rupp, Galen   30   M       Portland    OR     USA   \n",
       "2           2  23     Osako, Suguru   25   M   Machida-City   NaN     JPN   \n",
       "3           3  21  Biwott, Shadrack   32   M  Mammoth Lakes    CA     USA   \n",
       "4           4   9    Chebet, Wilson   31   M       Marakwet   NaN     KEN   \n",
       "\n",
       "  Citizen Unnamed: 9  ...            Pace Proj Time   Official Time Overall  \\\n",
       "0     NaN        NaN  ... 0 days 00:04:57         - 0 days 02:09:37       1   \n",
       "1     NaN        NaN  ... 0 days 00:04:58         - 0 days 02:09:58       2   \n",
       "2     NaN        NaN  ... 0 days 00:04:59         - 0 days 02:10:28       3   \n",
       "3     NaN        NaN  ... 0 days 00:05:03         - 0 days 02:12:08       4   \n",
       "4     NaN        NaN  ... 0 days 00:05:04         - 0 days 02:12:35       5   \n",
       "\n",
       "  Gender Division split_sec final_sec split_frac age_dec  \n",
       "0      1        1    3875.0    7777.0   1.003484      20  \n",
       "1      2        2    3875.0    7798.0   1.006194      30  \n",
       "2      3        3    3876.0    7828.0   1.009804      20  \n",
       "3      4        4    3885.0    7928.0   1.020335      30  \n",
       "4      5        5    3875.0    7955.0   1.026452      30  \n",
       "\n",
       "[5 rows x 29 columns]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['age_dec'] = data.Age.map(lambda age: 10 * (age // 10))\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Filter rows with gender male and female.\n",
    "men = (data['M/F'] == 'M')\n",
    "women = (data['M/F'] == 'F')\n",
    "\n",
    "with sns.axes_style(style=None):\n",
    "    sns.violinplot(x=\"age_dec\", y=\"split_frac\", hue=\"M/F\", data=data,\n",
    "                   split=True, inner=\"quartile\",\n",
    "                   palette=[\"lightblue\", \"lightpink\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Machine Learning\n",
    "\n",
    "### Multiple Linear Regression\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "df3 = df2[['Age','M/F','final_sec']]\n",
    "df3['log_var'] = data2['log_var']\n",
    "df3['log_var*2'] = data2['log_var']*2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# data preparation\n",
    "df3['M/F'] = df3['M/F'].map({'M': 0, 'F': 1})  # code gender\n",
    "X = df3[['Age', 'M/F', 'log_var']]\n",
    "y = df3['final_sec']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# set up pipeline\n",
    "from sklearn.pipeline import make_pipeline\n",
    "from sklearn.preprocessing import PolynomialFeatures, StandardScaler\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "poly_model = make_pipeline(\n",
    "    PolynomialFeatures(2), \n",
    "    StandardScaler(), \n",
    "    LinearRegression()\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R² Score: 0.8618098348205944\n"
     ]
    }
   ],
   "source": [
    "# Training and evaluation\n",
    "from sklearn.model_selection import train_test_split, cross_val_score\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "poly_model.fit(X_train, y_train)\n",
    "print(\"R² Score:\", poly_model.score(X_test, y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test RMSE: 943.23, R²: 0.86\n",
      "CV RMSE: 1132.23 ± 690.08\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.preprocessing import PolynomialFeatures, StandardScaler\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.pipeline import make_pipeline\n",
    "from sklearn.model_selection import cross_val_score, train_test_split, learning_curve\n",
    "from sklearn.metrics import mean_squared_error, r2_score\n",
    "\n",
    "\n",
    "y_pred = poly_model.predict(X_test)\n",
    "\n",
    "rmse = np.sqrt(mean_squared_error(y_test, y_pred))\n",
    "r2 = r2_score(y_test, y_pred)\n",
    "print(f\"Test RMSE: {rmse:.2f}, R²: {r2:.2f}\")\n",
    "\n",
    "\n",
    "cv_scores = cross_val_score(poly_model, X, y, cv=5, scoring='neg_mean_squared_error')\n",
    "cv_rmse = np.sqrt(-cv_scores)\n",
    "print(f\"CV RMSE: {cv_rmse.mean():.2f} ± {cv_rmse.std():.2f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Residual Plot\n",
    "residuals = y_test - y_pred\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(y_pred, residuals, alpha=0.6)\n",
    "plt.axhline(y=0, color='r', linestyle='--')\n",
    "plt.title('Residuals vs Predicted Values')\n",
    "plt.xlabel('Predicted Values')\n",
    "plt.ylabel('Residuals')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# real value vs predicted value\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(y_test, y_pred, alpha=0.6)\n",
    "plt.plot([y_test.min(), y_test.max()], [y_test.min(), y_test.max()], 'r--')\n",
    "plt.title('Actual vs Predicted Final Time')\n",
    "plt.xlabel('Actual Final Time (seconds)')\n",
    "plt.ylabel('Predicted Final Time (seconds)')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# cearte learning curve\n",
    "train_sizes, train_scores, test_scores = learning_curve(\n",
    "    poly_model, X, y, cv=5, scoring='neg_mean_squared_error',\n",
    "    train_sizes=np.linspace(0.1, 1.0, 10)\n",
    ")\n",
    "\n",
    "# calculate mean RMSE\n",
    "train_scores = np.sqrt(-train_scores)\n",
    "test_scores = np.sqrt(-test_scores)\n",
    "\n",
    "# visualization\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(train_sizes, train_scores.mean(axis=1), label='Train RMSE')\n",
    "plt.plot(train_sizes, test_scores.mean(axis=1), label='Test RMSE')\n",
    "plt.title('Learning Curve')\n",
    "plt.xlabel('Training Examples')\n",
    "plt.ylabel('RMSE')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The learning curve shows that the complexity of our model is basically in line with the current data scale."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "This study explored the significance of running at a constant speed in a marathon and found that running at a constant speed is significantly correlated with the improvement of marathon performance, and reducing speed fluctuations can significantly improve marathon performance. This is of great significance for college students who want to improve their physical test scores in a short period of time. This paper also studied the effects of gender and age on marathon speed fluctuations and found that women are more inclined to run steadily, which may be related to women's personality traits and physiological conditions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Areas for improvement in the study\n",
    "\n",
    "- Control variables: Quantitative research on the impact of speed fluctuations and control variables require more detailed data.\n",
    "- Endogeneity problem: Good control of speed is inseparable from a lot of training. Novice runners often lack understanding of their physical limits and tend to run fast to get good results at the beginning, but the results are always counterproductive.\n",
    "- Possibility of a better model: The multivariate linear regression model is relatively simple, and a more sophisticated model may have better prediction results.\n",
    "- Richer data sets: Adding data such as runners' height, weight, and daily training volume should be able to improve the prediction effect of the model."
   ]
  }
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